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Finding the Fourth Proportional to 408,593.04, 563,393.52 and 287,695.68

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Solution

The fourth proportional to 408,593.04, 563,393.52 and 287,695.68 is: 396,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,593.04 : 563,393.52 = 287,695.68 : x
  2. Step 2: Convert to fraction form
    408,593.04/563,393.52 = 287,695.68/x
  3. Step 3: Cross multiply
    408,593.04x = 563,393.52 × 287,695.68
  4. Step 4: Simplify right side
    408,593.04x = 162,085,881,843.99
  5. Step 5: Solve for x
    x = 162,085,881,843.99/408,593.04
  6. Step 6: Final answer
    x = 396,692.71

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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.