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Finding the Fourth Proportional to 472,992.80, 709,489.20 and 412,167.20

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Solution

The fourth proportional to 472,992.80, 709,489.20 and 412,167.20 is: 618,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,992.80 : 709,489.20 = 412,167.20 : x
  2. Step 2: Convert to fraction form
    472,992.80/709,489.20 = 412,167.20/x
  3. Step 3: Cross multiply
    472,992.80x = 709,489.20 × 412,167.20
  4. Step 4: Simplify right side
    472,992.80x = 292,428,176,994.24
  5. Step 5: Solve for x
    x = 292,428,176,994.24/472,992.80
  6. Step 6: Final answer
    x = 618,250.80

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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.