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Finding the Fourth Proportional to 261,400.60, 391,226.10 and 182,668.60

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Solution

The fourth proportional to 261,400.60, 391,226.10 and 182,668.60 is: 273,391.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,400.60 : 391,226.10 = 182,668.60 : x
  2. Step 2: Convert to fraction form
    261,400.60/391,226.10 = 182,668.60/x
  3. Step 3: Cross multiply
    261,400.60x = 391,226.10 × 182,668.60
  4. Step 4: Simplify right side
    261,400.60x = 71,464,723,970.46
  5. Step 5: Solve for x
    x = 71,464,723,970.46/261,400.60
  6. Step 6: Final answer
    x = 273,391.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.