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Finding the Fourth Proportional to 415,396.38, 573,274.02 and 231,655.68

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Solution

The fourth proportional to 415,396.38, 573,274.02 and 231,655.68 is: 319,699.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,396.38 : 573,274.02 = 231,655.68 : x
  2. Step 2: Convert to fraction form
    415,396.38/573,274.02 = 231,655.68/x
  3. Step 3: Cross multiply
    415,396.38x = 573,274.02 × 231,655.68
  4. Step 4: Simplify right side
    415,396.38x = 132,802,182,929.43
  5. Step 5: Solve for x
    x = 132,802,182,929.43/415,396.38
  6. Step 6: Final answer
    x = 319,699.90

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1.5x scale

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.