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Finding the Fourth Proportional to 542,493.72, 813,647.70 and 143,138.61

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Solution

The fourth proportional to 542,493.72, 813,647.70 and 143,138.61 is: 214,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,493.72 : 813,647.70 = 143,138.61 : x
  2. Step 2: Convert to fraction form
    542,493.72/813,647.70 = 143,138.61/x
  3. Step 3: Cross multiply
    542,493.72x = 813,647.70 × 143,138.61
  4. Step 4: Simplify right side
    542,493.72x = 116,464,400,807.70
  5. Step 5: Solve for x
    x = 116,464,400,807.70/542,493.72
  6. Step 6: Final answer
    x = 214,683.41

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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.