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Finding the Fourth Proportional to 457,680.80, 686,521.20 and 307,992.80

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Solution

The fourth proportional to 457,680.80, 686,521.20 and 307,992.80 is: 461,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,680.80 : 686,521.20 = 307,992.80 : x
  2. Step 2: Convert to fraction form
    457,680.80/686,521.20 = 307,992.80/x
  3. Step 3: Cross multiply
    457,680.80x = 686,521.20 × 307,992.80
  4. Step 4: Simplify right side
    457,680.80x = 211,443,586,647.36
  5. Step 5: Solve for x
    x = 211,443,586,647.36/457,680.80
  6. Step 6: Final answer
    x = 461,989.20

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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.