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Finding the Fourth Proportional to 415,023.64, 572,747.90 and 231,278.72

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Solution

The fourth proportional to 415,023.64, 572,747.90 and 231,278.72 is: 319,173.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,023.64 : 572,747.90 = 231,278.72 : x
  2. Step 2: Convert to fraction form
    415,023.64/572,747.90 = 231,278.72/x
  3. Step 3: Cross multiply
    415,023.64x = 572,747.90 × 231,278.72
  4. Step 4: Simplify right side
    415,023.64x = 132,464,401,194.69
  5. Step 5: Solve for x
    x = 132,464,401,194.69/415,023.64
  6. Step 6: Final answer
    x = 319,173.15

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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.