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Finding the Fourth Proportional to 312,279.80, 468,371.10 and 87,618.20

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Solution

The fourth proportional to 312,279.80, 468,371.10 and 87,618.20 is: 131,413.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,279.80 : 468,371.10 = 87,618.20 : x
  2. Step 2: Convert to fraction form
    312,279.80/468,371.10 = 87,618.20/x
  3. Step 3: Cross multiply
    312,279.80x = 468,371.10 × 87,618.20
  4. Step 4: Simplify right side
    312,279.80x = 41,037,832,714.02
  5. Step 5: Solve for x
    x = 41,037,832,714.02/312,279.80
  6. Step 6: Final answer
    x = 131,413.66

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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.