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Finding the Fourth Proportional to 542,544.72, 813,724.08 and 143,189.76

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Solution

The fourth proportional to 542,544.72, 813,724.08 and 143,189.76 is: 214,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,544.72 : 813,724.08 = 143,189.76 : x
  2. Step 2: Convert to fraction form
    542,544.72/813,724.08 = 143,189.76/x
  3. Step 3: Cross multiply
    542,544.72x = 813,724.08 × 143,189.76
  4. Step 4: Simplify right side
    542,544.72x = 116,516,955,721.42
  5. Step 5: Solve for x
    x = 116,516,955,721.42/542,544.72
  6. Step 6: Final answer
    x = 214,760.10

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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.