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Finding the Fourth Proportional to 542,381.58, 813,580.83 and 205,331.76

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Solution

The fourth proportional to 542,381.58, 813,580.83 and 205,331.76 is: 308,000.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,381.58 : 813,580.83 = 205,331.76 : x
  2. Step 2: Convert to fraction form
    542,381.58/813,580.83 = 205,331.76/x
  3. Step 3: Cross multiply
    542,381.58x = 813,580.83 × 205,331.76
  4. Step 4: Simplify right side
    542,381.58x = 167,053,983,726.16
  5. Step 5: Solve for x
    x = 167,053,983,726.16/542,381.58
  6. Step 6: Final answer
    x = 308,000.84

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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.