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Finding the Fourth Proportional to 542,842.61, 814,319.80 and 187,856.06

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Solution

The fourth proportional to 542,842.61, 814,319.80 and 187,856.06 is: 281,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,842.61 : 814,319.80 = 187,856.06 : x
  2. Step 2: Convert to fraction form
    542,842.61/814,319.80 = 187,856.06/x
  3. Step 3: Cross multiply
    542,842.61x = 814,319.80 × 187,856.06
  4. Step 4: Simplify right side
    542,842.61x = 152,974,904,666.75
  5. Step 5: Solve for x
    x = 152,974,904,666.75/542,842.61
  6. Step 6: Final answer
    x = 281,803.42

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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.