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Finding the Fourth Proportional to 488,711.76, 674,422.22 and 297,725

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Solution

The fourth proportional to 488,711.76, 674,422.22 and 297,725 is: 410,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,711.76 : 674,422.22 = 297,725 : x
  2. Step 2: Convert to fraction form
    488,711.76/674,422.22 = 297,725/x
  3. Step 3: Cross multiply
    488,711.76x = 674,422.22 × 297,725
  4. Step 4: Simplify right side
    488,711.76x = 200,792,355,449.50
  5. Step 5: Solve for x
    x = 200,792,355,449.50/488,711.76
  6. Step 6: Final answer
    x = 410,860.49

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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.