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Finding the Fourth Proportional to 273,138,744.80, 409,708,117.20 and 189,915,084.20

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Solution

The fourth proportional to 273,138,744.80, 409,708,117.20 and 189,915,084.20 is: 284,872,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,138,744.80 : 409,708,117.20 = 189,915,084.20 : x
  2. Step 2: Convert to fraction form
    273,138,744.80/409,708,117.20 = 189,915,084.20/x
  3. Step 3: Cross multiply
    273,138,744.80x = 409,708,117.20 × 189,915,084.20
  4. Step 4: Simplify right side
    273,138,744.80x = 77,809,751,575,461,456
  5. Step 5: Solve for x
    x = 77,809,751,575,461,456/273,138,744.80
  6. Step 6: Final answer
    x = 284,872,626.30

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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.