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Finding the Fourth Proportional to 384,142.65, 576,209.34 and 99,808.04

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Solution

The fourth proportional to 384,142.65, 576,209.34 and 99,808.04 is: 149,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,142.65 : 576,209.34 = 99,808.04 : x
  2. Step 2: Convert to fraction form
    384,142.65/576,209.34 = 99,808.04/x
  3. Step 3: Cross multiply
    384,142.65x = 576,209.34 × 99,808.04
  4. Step 4: Simplify right side
    384,142.65x = 57,510,321,974.05
  5. Step 5: Solve for x
    x = 57,510,321,974.05/384,142.65
  6. Step 6: Final answer
    x = 149,710.85

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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.