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Finding the Fourth Proportional to 492,978.28, 680,309.22 and 278,117.80

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Solution

The fourth proportional to 492,978.28, 680,309.22 and 278,117.80 is: 383,802.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,978.28 : 680,309.22 = 278,117.80 : x
  2. Step 2: Convert to fraction form
    492,978.28/680,309.22 = 278,117.80/x
  3. Step 3: Cross multiply
    492,978.28x = 680,309.22 × 278,117.80
  4. Step 4: Simplify right side
    492,978.28x = 189,206,103,586.12
  5. Step 5: Solve for x
    x = 189,206,103,586.12/492,978.28
  6. Step 6: Final answer
    x = 383,802.11

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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.