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Finding the Fourth Proportional to 458,197.40, 686,712.90 and 408,042.20

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Solution

The fourth proportional to 458,197.40, 686,712.90 and 408,042.20 is: 611,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,197.40 : 686,712.90 = 408,042.20 : x
  2. Step 2: Convert to fraction form
    458,197.40/686,712.90 = 408,042.20/x
  3. Step 3: Cross multiply
    458,197.40x = 686,712.90 × 408,042.20
  4. Step 4: Simplify right side
    458,197.40x = 280,207,842,484.38
  5. Step 5: Solve for x
    x = 280,207,842,484.38/458,197.40
  6. Step 6: Final answer
    x = 611,543.94

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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.