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Finding the Fourth Proportional to 325,340.92, 487,162.56 and 261,814.05

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Solution

The fourth proportional to 325,340.92, 487,162.56 and 261,814.05 is: 392,038.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,340.92 : 487,162.56 = 261,814.05 : x
  2. Step 2: Convert to fraction form
    325,340.92/487,162.56 = 261,814.05/x
  3. Step 3: Cross multiply
    325,340.92x = 487,162.56 × 261,814.05
  4. Step 4: Simplify right side
    325,340.92x = 127,546,002,841.97
  5. Step 5: Solve for x
    x = 127,546,002,841.97/325,340.92
  6. Step 6: Final answer
    x = 392,038.00

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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.