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Finding the Fourth Proportional to 542,497.42, 813,779.96 and 143,138.58

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Solution

The fourth proportional to 542,497.42, 813,779.96 and 143,138.58 is: 214,716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,497.42 : 813,779.96 = 143,138.58 : x
  2. Step 2: Convert to fraction form
    542,497.42/813,779.96 = 143,138.58/x
  3. Step 3: Cross multiply
    542,497.42x = 813,779.96 × 143,138.58
  4. Step 4: Simplify right side
    542,497.42x = 116,483,304,139.49
  5. Step 5: Solve for x
    x = 116,483,304,139.49/542,497.42
  6. Step 6: Final answer
    x = 214,716.79

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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.