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Finding the Fourth Proportional to 361,126.65, 498,354.32 and 199,981.50

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Solution

The fourth proportional to 361,126.65, 498,354.32 and 199,981.50 is: 275,974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,126.65 : 498,354.32 = 199,981.50 : x
  2. Step 2: Convert to fraction form
    361,126.65/498,354.32 = 199,981.50/x
  3. Step 3: Cross multiply
    361,126.65x = 498,354.32 × 199,981.50
  4. Step 4: Simplify right side
    361,126.65x = 99,661,644,445.08
  5. Step 5: Solve for x
    x = 99,661,644,445.08/361,126.65
  6. Step 6: Final answer
    x = 275,974.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.