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Finding the Fourth Proportional to 331,382.80, 497,074.20 and 280,061.20

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Solution

The fourth proportional to 331,382.80, 497,074.20 and 280,061.20 is: 420,091.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,382.80 : 497,074.20 = 280,061.20 : x
  2. Step 2: Convert to fraction form
    331,382.80/497,074.20 = 280,061.20/x
  3. Step 3: Cross multiply
    331,382.80x = 497,074.20 × 280,061.20
  4. Step 4: Simplify right side
    331,382.80x = 139,211,196,941.04
  5. Step 5: Solve for x
    x = 139,211,196,941.04/331,382.80
  6. Step 6: Final answer
    x = 420,091.80

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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.