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Finding the Fourth Proportional to 381,490.29, 572,257.31 and 101,000.25

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Solution

The fourth proportional to 381,490.29, 572,257.31 and 101,000.25 is: 151,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,490.29 : 572,257.31 = 101,000.25 : x
  2. Step 2: Convert to fraction form
    381,490.29/572,257.31 = 101,000.25/x
  3. Step 3: Cross multiply
    381,490.29x = 572,257.31 × 101,000.25
  4. Step 4: Simplify right side
    381,490.29x = 57,798,130,869.33
  5. Step 5: Solve for x
    x = 57,798,130,869.33/381,490.29
  6. Step 6: Final answer
    x = 151,506.17

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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.