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Finding the Fourth Proportional to 472,944.80, 709,417.20 and 140,520.80

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Solution

The fourth proportional to 472,944.80, 709,417.20 and 140,520.80 is: 210,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,944.80 : 709,417.20 = 140,520.80 : x
  2. Step 2: Convert to fraction form
    472,944.80/709,417.20 = 140,520.80/x
  3. Step 3: Cross multiply
    472,944.80x = 709,417.20 × 140,520.80
  4. Step 4: Simplify right side
    472,944.80x = 99,687,872,477.76
  5. Step 5: Solve for x
    x = 99,687,872,477.76/472,944.80
  6. Step 6: Final answer
    x = 210,781.20

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Similar ratio
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1.5x scale

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.