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Finding the Fourth Proportional to 415,378.47, 573,221.56 and 224,391.27

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Solution

The fourth proportional to 415,378.47, 573,221.56 and 224,391.27 is: 309,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,378.47 : 573,221.56 = 224,391.27 : x
  2. Step 2: Convert to fraction form
    415,378.47/573,221.56 = 224,391.27/x
  3. Step 3: Cross multiply
    415,378.47x = 573,221.56 × 224,391.27
  4. Step 4: Simplify right side
    415,378.47x = 128,625,913,839.78
  5. Step 5: Solve for x
    x = 128,625,913,839.78/415,378.47
  6. Step 6: Final answer
    x = 309,659.56

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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.