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Finding the Fourth Proportional to 331,361.80, 497,042.70 and 280,040.20

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Solution

The fourth proportional to 331,361.80, 497,042.70 and 280,040.20 is: 420,060.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,361.80 : 497,042.70 = 280,040.20 : x
  2. Step 2: Convert to fraction form
    331,361.80/497,042.70 = 280,040.20/x
  3. Step 3: Cross multiply
    331,361.80x = 497,042.70 × 280,040.20
  4. Step 4: Simplify right side
    331,361.80x = 139,191,937,116.54
  5. Step 5: Solve for x
    x = 139,191,937,116.54/331,361.80
  6. Step 6: Final answer
    x = 420,060.30

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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.