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Finding the Fourth Proportional to 689,103.69, 951,220.33 and 402,715.23

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Solution

The fourth proportional to 689,103.69, 951,220.33 and 402,715.23 is: 555,897.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,103.69 : 951,220.33 = 402,715.23 : x
  2. Step 2: Convert to fraction form
    689,103.69/951,220.33 = 402,715.23/x
  3. Step 3: Cross multiply
    689,103.69x = 951,220.33 × 402,715.23
  4. Step 4: Simplify right side
    689,103.69x = 383,070,909,402.76
  5. Step 5: Solve for x
    x = 383,070,909,402.76/689,103.69
  6. Step 6: Final answer
    x = 555,897.34

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.