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Finding the Fourth Proportional to 472,494.80, 708,288.60 and 156,789.20

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Solution

The fourth proportional to 472,494.80, 708,288.60 and 156,789.20 is: 235,033.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,494.80 : 708,288.60 = 156,789.20 : x
  2. Step 2: Convert to fraction form
    472,494.80/708,288.60 = 156,789.20/x
  3. Step 3: Cross multiply
    472,494.80x = 708,288.60 × 156,789.20
  4. Step 4: Simplify right side
    472,494.80x = 111,052,002,963.12
  5. Step 5: Solve for x
    x = 111,052,002,963.12/472,494.80
  6. Step 6: Final answer
    x = 235,033.28

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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.