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Finding the Fourth Proportional to 312,722.67, 469,084.13 and 76,063.89

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Solution

The fourth proportional to 312,722.67, 469,084.13 and 76,063.89 is: 114,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,722.67 : 469,084.13 = 76,063.89 : x
  2. Step 2: Convert to fraction form
    312,722.67/469,084.13 = 76,063.89/x
  3. Step 3: Cross multiply
    312,722.67x = 469,084.13 × 76,063.89
  4. Step 4: Simplify right side
    312,722.67x = 35,680,363,284.75
  5. Step 5: Solve for x
    x = 35,680,363,284.75/312,722.67
  6. Step 6: Final answer
    x = 114,095.86

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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.