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Finding the Fourth Proportional to 316,242.83, 474,033.77 and 138,600.11

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Solution

The fourth proportional to 316,242.83, 474,033.77 and 138,600.11 is: 207,755.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,242.83 : 474,033.77 = 138,600.11 : x
  2. Step 2: Convert to fraction form
    316,242.83/474,033.77 = 138,600.11/x
  3. Step 3: Cross multiply
    316,242.83x = 474,033.77 × 138,600.11
  4. Step 4: Simplify right side
    316,242.83x = 65,701,133,677.55
  5. Step 5: Solve for x
    x = 65,701,133,677.55/316,242.83
  6. Step 6: Final answer
    x = 207,755.33

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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.