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Finding the Fourth Proportional to 458,585.40, 687,294.90 and 408,430.20

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Solution

The fourth proportional to 458,585.40, 687,294.90 and 408,430.20 is: 612,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,585.40 : 687,294.90 = 408,430.20 : x
  2. Step 2: Convert to fraction form
    458,585.40/687,294.90 = 408,430.20/x
  3. Step 3: Cross multiply
    458,585.40x = 687,294.90 × 408,430.20
  4. Step 4: Simplify right side
    458,585.40x = 280,711,993,465.98
  5. Step 5: Solve for x
    x = 280,711,993,465.98/458,585.40
  6. Step 6: Final answer
    x = 612,125.88

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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.