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Finding the Fourth Proportional to 313,095.20, 468,951.60 and 188,218.40

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Solution

The fourth proportional to 313,095.20, 468,951.60 and 188,218.40 is: 281,912.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,095.20 : 468,951.60 = 188,218.40 : x
  2. Step 2: Convert to fraction form
    313,095.20/468,951.60 = 188,218.40/x
  3. Step 3: Cross multiply
    313,095.20x = 468,951.60 × 188,218.40
  4. Step 4: Simplify right side
    313,095.20x = 88,265,319,829.44
  5. Step 5: Solve for x
    x = 88,265,319,829.44/313,095.20
  6. Step 6: Final answer
    x = 281,912.08

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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.