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Finding the Fourth Proportional to 485,310.25, 727,967.25 and 148,349.61

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Solution

The fourth proportional to 485,310.25, 727,967.25 and 148,349.61 is: 222,524.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,310.25 : 727,967.25 = 148,349.61 : x
  2. Step 2: Convert to fraction form
    485,310.25/727,967.25 = 148,349.61/x
  3. Step 3: Cross multiply
    485,310.25x = 727,967.25 × 148,349.61
  4. Step 4: Simplify right side
    485,310.25x = 107,993,657,630.27
  5. Step 5: Solve for x
    x = 107,993,657,630.27/485,310.25
  6. Step 6: Final answer
    x = 222,524.99

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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.