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Finding the Fourth Proportional to 312,097.70, 468,146.55 and 192,250.10

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Solution

The fourth proportional to 312,097.70, 468,146.55 and 192,250.10 is: 288,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,097.70 : 468,146.55 = 192,250.10 : x
  2. Step 2: Convert to fraction form
    312,097.70/468,146.55 = 192,250.10/x
  3. Step 3: Cross multiply
    312,097.70x = 468,146.55 × 192,250.10
  4. Step 4: Simplify right side
    312,097.70x = 90,001,221,052.16
  5. Step 5: Solve for x
    x = 90,001,221,052.16/312,097.70
  6. Step 6: Final answer
    x = 288,375.15

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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.