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Finding the Fourth Proportional to 458,243.40, 686,781.90 and 408,088.20

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Solution

The fourth proportional to 458,243.40, 686,781.90 and 408,088.20 is: 611,612.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,243.40 : 686,781.90 = 408,088.20 : x
  2. Step 2: Convert to fraction form
    458,243.40/686,781.90 = 408,088.20/x
  3. Step 3: Cross multiply
    458,243.40x = 686,781.90 × 408,088.20
  4. Step 4: Simplify right side
    458,243.40x = 280,267,589,363.58
  5. Step 5: Solve for x
    x = 280,267,589,363.58/458,243.40
  6. Step 6: Final answer
    x = 611,612.93

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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.