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Finding the Fourth Proportional to 312,834.61, 469,279.59 and 88,197.04

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Solution

The fourth proportional to 312,834.61, 469,279.59 and 88,197.04 is: 132,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,834.61 : 469,279.59 = 88,197.04 : x
  2. Step 2: Convert to fraction form
    312,834.61/469,279.59 = 88,197.04/x
  3. Step 3: Cross multiply
    312,834.61x = 469,279.59 × 88,197.04
  4. Step 4: Simplify right side
    312,834.61x = 41,389,070,770.41
  5. Step 5: Solve for x
    x = 41,389,070,770.41/312,834.61
  6. Step 6: Final answer
    x = 132,303.36

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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.