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Finding the Fourth Proportional to 415,247.40, 572,727.78 and 357,985.80

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Solution

The fourth proportional to 415,247.40, 572,727.78 and 357,985.80 is: 493,750.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,247.40 : 572,727.78 = 357,985.80 : x
  2. Step 2: Convert to fraction form
    415,247.40/572,727.78 = 357,985.80/x
  3. Step 3: Cross multiply
    415,247.40x = 572,727.78 × 357,985.80
  4. Step 4: Simplify right side
    415,247.40x = 205,028,412,505.52
  5. Step 5: Solve for x
    x = 205,028,412,505.52/415,247.40
  6. Step 6: Final answer
    x = 493,750.02

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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.