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Finding the Fourth Proportional to 280,073,406.80, 420,110,110.20 and 252,332,186.60

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Solution

The fourth proportional to 280,073,406.80, 420,110,110.20 and 252,332,186.60 is: 378,498,279.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,073,406.80 : 420,110,110.20 = 252,332,186.60 : x
  2. Step 2: Convert to fraction form
    280,073,406.80/420,110,110.20 = 252,332,186.60/x
  3. Step 3: Cross multiply
    280,073,406.80x = 420,110,110.20 × 252,332,186.60
  4. Step 4: Simplify right side
    280,073,406.80x = 106,007,302,719,532,960
  5. Step 5: Solve for x
    x = 106,007,302,719,532,960/280,073,406.80
  6. Step 6: Final answer
    x = 378,498,279.90

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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.