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Finding the Fourth Proportional to 394,891,966.95, 592,337,950.43 and 280,100,710.95

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Solution

The fourth proportional to 394,891,966.95, 592,337,950.43 and 280,100,710.95 is: 420,151,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,891,966.95 : 592,337,950.43 = 280,100,710.95 : x
  2. Step 2: Convert to fraction form
    394,891,966.95/592,337,950.43 = 280,100,710.95/x
  3. Step 3: Cross multiply
    394,891,966.95x = 592,337,950.43 × 280,100,710.95
  4. Step 4: Simplify right side
    394,891,966.95x = 165,914,281,036,708,320
  5. Step 5: Solve for x
    x = 165,914,281,036,708,320/394,891,966.95
  6. Step 6: Final answer
    x = 420,151,066.43

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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.