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Finding the Fourth Proportional to 283,668.80, 391,465.32 and 156,344.72

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Solution

The fourth proportional to 283,668.80, 391,465.32 and 156,344.72 is: 215,757.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,668.80 : 391,465.32 = 156,344.72 : x
  2. Step 2: Convert to fraction form
    283,668.80/391,465.32 = 156,344.72/x
  3. Step 3: Cross multiply
    283,668.80x = 391,465.32 × 156,344.72
  4. Step 4: Simplify right side
    283,668.80x = 61,203,535,845.11
  5. Step 5: Solve for x
    x = 61,203,535,845.11/283,668.80
  6. Step 6: Final answer
    x = 215,757.02

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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.