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Finding the Fourth Proportional to 542,497.61, 813,780.24 and 143,138.77

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Solution

The fourth proportional to 542,497.61, 813,780.24 and 143,138.77 is: 214,717.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,497.61 : 813,780.24 = 143,138.77 : x
  2. Step 2: Convert to fraction form
    542,497.61/813,780.24 = 143,138.77/x
  3. Step 3: Cross multiply
    542,497.61x = 813,780.24 × 143,138.77
  4. Step 4: Simplify right side
    542,497.61x = 116,483,500,569.45
  5. Step 5: Solve for x
    x = 116,483,500,569.45/542,497.61
  6. Step 6: Final answer
    x = 214,717.08

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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.