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Finding the Fourth Proportional to 280,053,391.20, 420,080,086.80 and 150,913,228.20

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Solution

The fourth proportional to 280,053,391.20, 420,080,086.80 and 150,913,228.20 is: 226,369,842.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,053,391.20 : 420,080,086.80 = 150,913,228.20 : x
  2. Step 2: Convert to fraction form
    280,053,391.20/420,080,086.80 = 150,913,228.20/x
  3. Step 3: Cross multiply
    280,053,391.20x = 420,080,086.80 × 150,913,228.20
  4. Step 4: Simplify right side
    280,053,391.20x = 63,395,642,001,524,208
  5. Step 5: Solve for x
    x = 63,395,642,001,524,208/280,053,391.20
  6. Step 6: Final answer
    x = 226,369,842.30

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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.