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Finding the Fourth Proportional to 323,785.84, 485,677.14 and 87,109.24

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Solution

The fourth proportional to 323,785.84, 485,677.14 and 87,109.24 is: 130,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,785.84 : 485,677.14 = 87,109.24 : x
  2. Step 2: Convert to fraction form
    323,785.84/485,677.14 = 87,109.24/x
  3. Step 3: Cross multiply
    323,785.84x = 485,677.14 × 87,109.24
  4. Step 4: Simplify right side
    323,785.84x = 42,306,966,550.77
  5. Step 5: Solve for x
    x = 42,306,966,550.77/323,785.84
  6. Step 6: Final answer
    x = 130,663.42

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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.