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Finding the Fourth Proportional to 458,442.80, 687,664.20 and 340,344.80

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Solution

The fourth proportional to 458,442.80, 687,664.20 and 340,344.80 is: 510,517.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,442.80 : 687,664.20 = 340,344.80 : x
  2. Step 2: Convert to fraction form
    458,442.80/687,664.20 = 340,344.80/x
  3. Step 3: Cross multiply
    458,442.80x = 687,664.20 × 340,344.80
  4. Step 4: Simplify right side
    458,442.80x = 234,042,934,616.16
  5. Step 5: Solve for x
    x = 234,042,934,616.16/458,442.80
  6. Step 6: Final answer
    x = 510,517.20

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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.