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Finding the Fourth Proportional to 447,472.64, 617,539.80 and 256,514.73

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Solution

The fourth proportional to 447,472.64, 617,539.80 and 256,514.73 is: 354,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,472.64 : 617,539.80 = 256,514.73 : x
  2. Step 2: Convert to fraction form
    447,472.64/617,539.80 = 256,514.73/x
  3. Step 3: Cross multiply
    447,472.64x = 617,539.80 × 256,514.73
  4. Step 4: Simplify right side
    447,472.64x = 158,408,055,061.25
  5. Step 5: Solve for x
    x = 158,408,055,061.25/447,472.64
  6. Step 6: Final answer
    x = 354,006.13

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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.