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Finding the Fourth Proportional to 381,536.65, 572,304.57 and 144,878.95

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Solution

The fourth proportional to 381,536.65, 572,304.57 and 144,878.95 is: 217,318.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,536.65 : 572,304.57 = 144,878.95 : x
  2. Step 2: Convert to fraction form
    381,536.65/572,304.57 = 144,878.95/x
  3. Step 3: Cross multiply
    381,536.65x = 572,304.57 × 144,878.95
  4. Step 4: Simplify right side
    381,536.65x = 82,914,885,181.80
  5. Step 5: Solve for x
    x = 82,914,885,181.80/381,536.65
  6. Step 6: Final answer
    x = 217,318.27

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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.