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Finding the Fourth Proportional to 381,978.23, 572,967.45 and 142,060.78

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Solution

The fourth proportional to 381,978.23, 572,967.45 and 142,060.78 is: 213,091.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,978.23 : 572,967.45 = 142,060.78 : x
  2. Step 2: Convert to fraction form
    381,978.23/572,967.45 = 142,060.78/x
  3. Step 3: Cross multiply
    381,978.23x = 572,967.45 × 142,060.78
  4. Step 4: Simplify right side
    381,978.23x = 81,396,204,652.13
  5. Step 5: Solve for x
    x = 81,396,204,652.13/381,978.23
  6. Step 6: Final answer
    x = 213,091.21

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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.