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Finding the Fourth Proportional to 442,381.50, 663,574.68 and 109,957.50

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Solution

The fourth proportional to 442,381.50, 663,574.68 and 109,957.50 is: 164,936.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,381.50 : 663,574.68 = 109,957.50 : x
  2. Step 2: Convert to fraction form
    442,381.50/663,574.68 = 109,957.50/x
  3. Step 3: Cross multiply
    442,381.50x = 663,574.68 × 109,957.50
  4. Step 4: Simplify right side
    442,381.50x = 72,965,012,876.10
  5. Step 5: Solve for x
    x = 72,965,012,876.10/442,381.50
  6. Step 6: Final answer
    x = 164,936.85

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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.