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Finding the Fourth Proportional to 402,340,892.80, 603,033,042.30 and 361,207,359.40

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Solution

The fourth proportional to 402,340,892.80, 603,033,042.30 and 361,207,359.40 is: 541,381,641.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,340,892.80 : 603,033,042.30 = 361,207,359.40 : x
  2. Step 2: Convert to fraction form
    402,340,892.80/603,033,042.30 = 361,207,359.40/x
  3. Step 3: Cross multiply
    402,340,892.80x = 603,033,042.30 × 361,207,359.40
  4. Step 4: Simplify right side
    402,340,892.80x = 217,819,972,840,131,456
  5. Step 5: Solve for x
    x = 217,819,972,840,131,456/402,340,892.80
  6. Step 6: Final answer
    x = 541,381,641.14

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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.