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Finding the Fourth Proportional to 457,948.60, 686,922.90 and 407,210.20

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Solution

The fourth proportional to 457,948.60, 686,922.90 and 407,210.20 is: 610,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,948.60 : 686,922.90 = 407,210.20 : x
  2. Step 2: Convert to fraction form
    457,948.60/686,922.90 = 407,210.20/x
  3. Step 3: Cross multiply
    457,948.60x = 686,922.90 × 407,210.20
  4. Step 4: Simplify right side
    457,948.60x = 279,722,011,493.58
  5. Step 5: Solve for x
    x = 279,722,011,493.58/457,948.60
  6. Step 6: Final answer
    x = 610,815.30

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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.