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Finding the Fourth Proportional to 323,970.72, 485,990.64 and 137,001.12

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Solution

The fourth proportional to 323,970.72, 485,990.64 and 137,001.12 is: 205,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,970.72 : 485,990.64 = 137,001.12 : x
  2. Step 2: Convert to fraction form
    323,970.72/485,990.64 = 137,001.12/x
  3. Step 3: Cross multiply
    323,970.72x = 485,990.64 × 137,001.12
  4. Step 4: Simplify right side
    323,970.72x = 66,581,261,989.52
  5. Step 5: Solve for x
    x = 66,581,261,989.52/323,970.72
  6. Step 6: Final answer
    x = 205,516.29

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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.