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Finding the Fourth Proportional to 315,241.20, 472,084.20 and 209,487.60

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Solution

The fourth proportional to 315,241.20, 472,084.20 and 209,487.60 is: 313,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,241.20 : 472,084.20 = 209,487.60 : x
  2. Step 2: Convert to fraction form
    315,241.20/472,084.20 = 209,487.60/x
  3. Step 3: Cross multiply
    315,241.20x = 472,084.20 × 209,487.60
  4. Step 4: Simplify right side
    315,241.20x = 98,895,786,055.92
  5. Step 5: Solve for x
    x = 98,895,786,055.92/315,241.20
  6. Step 6: Final answer
    x = 313,714.66

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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.