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Finding the Fourth Proportional to 283,401.90, 391,092.03 and 156,074.76

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Solution

The fourth proportional to 283,401.90, 391,092.03 and 156,074.76 is: 215,381.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,401.90 : 391,092.03 = 156,074.76 : x
  2. Step 2: Convert to fraction form
    283,401.90/391,092.03 = 156,074.76/x
  3. Step 3: Cross multiply
    283,401.90x = 391,092.03 × 156,074.76
  4. Step 4: Simplify right side
    283,401.90x = 61,039,594,720.16
  5. Step 5: Solve for x
    x = 61,039,594,720.16/283,401.90
  6. Step 6: Final answer
    x = 215,381.74

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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.