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Finding the Fourth Proportional to 415,020.62, 572,743.78 and 231,275.72

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Solution

The fourth proportional to 415,020.62, 572,743.78 and 231,275.72 is: 319,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,020.62 : 572,743.78 = 231,275.72 : x
  2. Step 2: Convert to fraction form
    415,020.62/572,743.78 = 231,275.72/x
  3. Step 3: Cross multiply
    415,020.62x = 572,743.78 × 231,275.72
  4. Step 4: Simplify right side
    415,020.62x = 132,461,730,095.02
  5. Step 5: Solve for x
    x = 132,461,730,095.02/415,020.62
  6. Step 6: Final answer
    x = 319,169.03

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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.