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Finding the Fourth Proportional to 402,442.09, 555,383 and 221,170.78

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Solution

The fourth proportional to 402,442.09, 555,383 and 221,170.78 is: 305,222.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,442.09 : 555,383 = 221,170.78 : x
  2. Step 2: Convert to fraction form
    402,442.09/555,383 = 221,170.78/x
  3. Step 3: Cross multiply
    402,442.09x = 555,383 × 221,170.78
  4. Step 4: Simplify right side
    402,442.09x = 122,834,491,308.74
  5. Step 5: Solve for x
    x = 122,834,491,308.74/402,442.09
  6. Step 6: Final answer
    x = 305,222.77

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Half scale
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Double scale
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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.