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Finding the Fourth Proportional to 542,039.92, 813,337.44 and 258,051.76

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Solution

The fourth proportional to 542,039.92, 813,337.44 and 258,051.76 is: 387,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,039.92 : 813,337.44 = 258,051.76 : x
  2. Step 2: Convert to fraction form
    542,039.92/813,337.44 = 258,051.76/x
  3. Step 3: Cross multiply
    542,039.92x = 813,337.44 × 258,051.76
  4. Step 4: Simplify right side
    542,039.92x = 209,883,157,865.89
  5. Step 5: Solve for x
    x = 209,883,157,865.89/542,039.92
  6. Step 6: Final answer
    x = 387,209.78

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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.