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Finding the Fourth Proportional to 415,965.39, 574,032.12 and 224,978.73

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Solution

The fourth proportional to 415,965.39, 574,032.12 and 224,978.73 is: 310,470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,965.39 : 574,032.12 = 224,978.73 : x
  2. Step 2: Convert to fraction form
    415,965.39/574,032.12 = 224,978.73/x
  3. Step 3: Cross multiply
    415,965.39x = 574,032.12 × 224,978.73
  4. Step 4: Simplify right side
    415,965.39x = 129,145,017,336.81
  5. Step 5: Solve for x
    x = 129,145,017,336.81/415,965.39
  6. Step 6: Final answer
    x = 310,470.58

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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.