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Finding the Fourth Proportional to 284,040.73, 391,978.61 and 156,724.93

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Solution

The fourth proportional to 284,040.73, 391,978.61 and 156,724.93 is: 216,281.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,040.73 : 391,978.61 = 156,724.93 : x
  2. Step 2: Convert to fraction form
    284,040.73/391,978.61 = 156,724.93/x
  3. Step 3: Cross multiply
    284,040.73x = 391,978.61 × 156,724.93
  4. Step 4: Simplify right side
    284,040.73x = 61,432,820,213.75
  5. Step 5: Solve for x
    x = 61,432,820,213.75/284,040.73
  6. Step 6: Final answer
    x = 216,281.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.