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Finding the Fourth Proportional to 468,545.31, 646,589.79 and 253,680.86

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Solution

The fourth proportional to 468,545.31, 646,589.79 and 253,680.86 is: 350,078.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,545.31 : 646,589.79 = 253,680.86 : x
  2. Step 2: Convert to fraction form
    468,545.31/646,589.79 = 253,680.86/x
  3. Step 3: Cross multiply
    468,545.31x = 646,589.79 × 253,680.86
  4. Step 4: Simplify right side
    468,545.31x = 164,027,455,610.89
  5. Step 5: Solve for x
    x = 164,027,455,610.89/468,545.31
  6. Step 6: Final answer
    x = 350,078.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.