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Finding the Fourth Proportional to 415,077.55, 572,836.88 and 231,328.59

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Solution

The fourth proportional to 415,077.55, 572,836.88 and 231,328.59 is: 319,250.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,077.55 : 572,836.88 = 231,328.59 : x
  2. Step 2: Convert to fraction form
    415,077.55/572,836.88 = 231,328.59/x
  3. Step 3: Cross multiply
    415,077.55x = 572,836.88 × 231,328.59
  4. Step 4: Simplify right side
    415,077.55x = 132,513,547,750.40
  5. Step 5: Solve for x
    x = 132,513,547,750.40/415,077.55
  6. Step 6: Final answer
    x = 319,250.10

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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.