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Finding the Fourth Proportional to 542,439.96, 813,714.61 and 143,108.34

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Solution

The fourth proportional to 542,439.96, 813,714.61 and 143,108.34 is: 214,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,439.96 : 813,714.61 = 143,108.34 : x
  2. Step 2: Convert to fraction form
    542,439.96/813,714.61 = 143,108.34/x
  3. Step 3: Cross multiply
    542,439.96x = 813,714.61 × 143,108.34
  4. Step 4: Simplify right side
    542,439.96x = 116,449,347,070.85
  5. Step 5: Solve for x
    x = 116,449,347,070.85/542,439.96
  6. Step 6: Final answer
    x = 214,676.93

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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.