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Finding the Fourth Proportional to 689,194.47, 950,949 and 402,659.21

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Solution

The fourth proportional to 689,194.47, 950,949 and 402,659.21 is: 555,588.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,194.47 : 950,949 = 402,659.21 : x
  2. Step 2: Convert to fraction form
    689,194.47/950,949 = 402,659.21/x
  3. Step 3: Cross multiply
    689,194.47x = 950,949 × 402,659.21
  4. Step 4: Simplify right side
    689,194.47x = 382,908,368,335.55
  5. Step 5: Solve for x
    x = 382,908,368,335.55/689,194.47
  6. Step 6: Final answer
    x = 555,588.28

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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.