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Finding the Fourth Proportional to 263,709.98, 363,920.20 and 156,332.78

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Solution

The fourth proportional to 263,709.98, 363,920.20 and 156,332.78 is: 215,739.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,709.98 : 363,920.20 = 156,332.78 : x
  2. Step 2: Convert to fraction form
    263,709.98/363,920.20 = 156,332.78/x
  3. Step 3: Cross multiply
    263,709.98x = 363,920.20 × 156,332.78
  4. Step 4: Simplify right side
    263,709.98x = 56,892,656,564.16
  5. Step 5: Solve for x
    x = 56,892,656,564.16/263,709.98
  6. Step 6: Final answer
    x = 215,739.49

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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.