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Finding the Fourth Proportional to 394,859,363.70, 592,289,045.55 and 280,068,107.70

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Solution

The fourth proportional to 394,859,363.70, 592,289,045.55 and 280,068,107.70 is: 420,102,161.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,859,363.70 : 592,289,045.55 = 280,068,107.70 : x
  2. Step 2: Convert to fraction form
    394,859,363.70/592,289,045.55 = 280,068,107.70/x
  3. Step 3: Cross multiply
    394,859,363.70x = 592,289,045.55 × 280,068,107.70
  4. Step 4: Simplify right side
    394,859,363.70x = 165,881,272,198,627,584
  5. Step 5: Solve for x
    x = 165,881,272,198,627,584/394,859,363.70
  6. Step 6: Final answer
    x = 420,102,161.55

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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.