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Finding the Fourth Proportional to 472,981.80, 709,472.70 and 421,660.20

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Solution

The fourth proportional to 472,981.80, 709,472.70 and 421,660.20 is: 632,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,981.80 : 709,472.70 = 421,660.20 : x
  2. Step 2: Convert to fraction form
    472,981.80/709,472.70 = 421,660.20/x
  3. Step 3: Cross multiply
    472,981.80x = 709,472.70 × 421,660.20
  4. Step 4: Simplify right side
    472,981.80x = 299,156,400,576.54
  5. Step 5: Solve for x
    x = 299,156,400,576.54/472,981.80
  6. Step 6: Final answer
    x = 632,490.30

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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.