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Finding the Fourth Proportional to 565,002.48, 847,505.10 and 138,540.18

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Solution

The fourth proportional to 565,002.48, 847,505.10 and 138,540.18 is: 207,810.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,002.48 : 847,505.10 = 138,540.18 : x
  2. Step 2: Convert to fraction form
    565,002.48/847,505.10 = 138,540.18/x
  3. Step 3: Cross multiply
    565,002.48x = 847,505.10 × 138,540.18
  4. Step 4: Simplify right side
    565,002.48x = 117,413,509,104.92
  5. Step 5: Solve for x
    x = 117,413,509,104.92/565,002.48
  6. Step 6: Final answer
    x = 207,810.61

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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.