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Finding the Fourth Proportional to 412,541.39, 618,988.53 and 172,711.32

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Solution

The fourth proportional to 412,541.39, 618,988.53 and 172,711.32 is: 259,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,541.39 : 618,988.53 = 172,711.32 : x
  2. Step 2: Convert to fraction form
    412,541.39/618,988.53 = 172,711.32/x
  3. Step 3: Cross multiply
    412,541.39x = 618,988.53 × 172,711.32
  4. Step 4: Simplify right side
    412,541.39x = 106,906,326,081.16
  5. Step 5: Solve for x
    x = 106,906,326,081.16/412,541.39
  6. Step 6: Final answer
    x = 259,140.85

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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.