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Finding the Fourth Proportional to 415,398.78, 573,250.77 and 224,412.12

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Solution

The fourth proportional to 415,398.78, 573,250.77 and 224,412.12 is: 309,688.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,398.78 : 573,250.77 = 224,412.12 : x
  2. Step 2: Convert to fraction form
    415,398.78/573,250.77 = 224,412.12/x
  3. Step 3: Cross multiply
    415,398.78x = 573,250.77 × 224,412.12
  4. Step 4: Simplify right side
    415,398.78x = 128,644,420,587.33
  5. Step 5: Solve for x
    x = 128,644,420,587.33/415,398.78
  6. Step 6: Final answer
    x = 309,688.97

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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.