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Finding the Fourth Proportional to 415,127.40, 622,691.10 and 378,385.80

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Solution

The fourth proportional to 415,127.40, 622,691.10 and 378,385.80 is: 567,578.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,127.40 : 622,691.10 = 378,385.80 : x
  2. Step 2: Convert to fraction form
    415,127.40/622,691.10 = 378,385.80/x
  3. Step 3: Cross multiply
    415,127.40x = 622,691.10 × 378,385.80
  4. Step 4: Simplify right side
    415,127.40x = 235,617,470,026.38
  5. Step 5: Solve for x
    x = 235,617,470,026.38/415,127.40
  6. Step 6: Final answer
    x = 567,578.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.