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Finding the Fourth Proportional to 482,195.40, 665,432.12 and 278,254.92

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Solution

The fourth proportional to 482,195.40, 665,432.12 and 278,254.92 is: 383,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,195.40 : 665,432.12 = 278,254.92 : x
  2. Step 2: Convert to fraction form
    482,195.40/665,432.12 = 278,254.92/x
  3. Step 3: Cross multiply
    482,195.40x = 665,432.12 × 278,254.92
  4. Step 4: Simplify right side
    482,195.40x = 185,159,761,316.03
  5. Step 5: Solve for x
    x = 185,159,761,316.03/482,195.40
  6. Step 6: Final answer
    x = 383,993.21

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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.