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Finding the Fourth Proportional to 463,514.71, 639,557.85 and 282,105.13

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Solution

The fourth proportional to 463,514.71, 639,557.85 and 282,105.13 is: 389,248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,514.71 : 639,557.85 = 282,105.13 : x
  2. Step 2: Convert to fraction form
    463,514.71/639,557.85 = 282,105.13/x
  3. Step 3: Cross multiply
    463,514.71x = 639,557.85 × 282,105.13
  4. Step 4: Simplify right side
    463,514.71x = 180,422,550,416.77
  5. Step 5: Solve for x
    x = 180,422,550,416.77/463,514.71
  6. Step 6: Final answer
    x = 389,248.81

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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.