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Finding the Fourth Proportional to 415,085.38, 572,821.03 and 233,780.35

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Solution

The fourth proportional to 415,085.38, 572,821.03 and 233,780.35 is: 322,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,085.38 : 572,821.03 = 233,780.35 : x
  2. Step 2: Convert to fraction form
    415,085.38/572,821.03 = 233,780.35/x
  3. Step 3: Cross multiply
    415,085.38x = 572,821.03 × 233,780.35
  4. Step 4: Simplify right side
    415,085.38x = 133,914,298,458.81
  5. Step 5: Solve for x
    x = 133,914,298,458.81/415,085.38
  6. Step 6: Final answer
    x = 322,618.68

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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.