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Finding the Fourth Proportional to 485,874.70, 728,812.05 and 420,920.80

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Solution

The fourth proportional to 485,874.70, 728,812.05 and 420,920.80 is: 631,381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,874.70 : 728,812.05 = 420,920.80 : x
  2. Step 2: Convert to fraction form
    485,874.70/728,812.05 = 420,920.80/x
  3. Step 3: Cross multiply
    485,874.70x = 728,812.05 × 420,920.80
  4. Step 4: Simplify right side
    485,874.70x = 306,772,151,135.64
  5. Step 5: Solve for x
    x = 306,772,151,135.64/485,874.70
  6. Step 6: Final answer
    x = 631,381.20

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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.