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Finding the Fourth Proportional to 458,000.20, 687,000.30 and 409,011.40

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Solution

The fourth proportional to 458,000.20, 687,000.30 and 409,011.40 is: 613,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,000.20 : 687,000.30 = 409,011.40 : x
  2. Step 2: Convert to fraction form
    458,000.20/687,000.30 = 409,011.40/x
  3. Step 3: Cross multiply
    458,000.20x = 687,000.30 × 409,011.40
  4. Step 4: Simplify right side
    458,000.20x = 280,990,954,503.42
  5. Step 5: Solve for x
    x = 280,990,954,503.42/458,000.20
  6. Step 6: Final answer
    x = 613,517.10

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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.