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Finding the Fourth Proportional to 283,744.62, 391,570.61 and 156,424.77

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Solution

The fourth proportional to 283,744.62, 391,570.61 and 156,424.77 is: 215,867.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,744.62 : 391,570.61 = 156,424.77 : x
  2. Step 2: Convert to fraction form
    283,744.62/391,570.61 = 156,424.77/x
  3. Step 3: Cross multiply
    283,744.62x = 391,570.61 × 156,424.77
  4. Step 4: Simplify right side
    283,744.62x = 61,251,341,825.89
  5. Step 5: Solve for x
    x = 61,251,341,825.89/283,744.62
  6. Step 6: Final answer
    x = 215,867.85

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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.