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Finding the Fourth Proportional to 457,966.20, 686,949.30 and 408,977.40

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Solution

The fourth proportional to 457,966.20, 686,949.30 and 408,977.40 is: 613,466.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,966.20 : 686,949.30 = 408,977.40 : x
  2. Step 2: Convert to fraction form
    457,966.20/686,949.30 = 408,977.40/x
  3. Step 3: Cross multiply
    457,966.20x = 686,949.30 × 408,977.40
  4. Step 4: Simplify right side
    457,966.20x = 280,946,738,645.82
  5. Step 5: Solve for x
    x = 280,946,738,645.82/457,966.20
  6. Step 6: Final answer
    x = 613,466.10

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Double scale
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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.