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Finding the Fourth Proportional to 472,520.80, 708,781.20 and 269,908.93

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Solution

The fourth proportional to 472,520.80, 708,781.20 and 269,908.93 is: 404,863.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,520.80 : 708,781.20 = 269,908.93 : x
  2. Step 2: Convert to fraction form
    472,520.80/708,781.20 = 269,908.93/x
  3. Step 3: Cross multiply
    472,520.80x = 708,781.20 × 269,908.93
  4. Step 4: Simplify right side
    472,520.80x = 191,306,375,296.12
  5. Step 5: Solve for x
    x = 191,306,375,296.12/472,520.80
  6. Step 6: Final answer
    x = 404,863.40

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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.