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Finding the Fourth Proportional to 497,351.58, 746,247.90 and 260,638

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Solution

The fourth proportional to 497,351.58, 746,247.90 and 260,638 is: 391,072.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,351.58 : 746,247.90 = 260,638 : x
  2. Step 2: Convert to fraction form
    497,351.58/746,247.90 = 260,638/x
  3. Step 3: Cross multiply
    497,351.58x = 746,247.90 × 260,638
  4. Step 4: Simplify right side
    497,351.58x = 194,500,560,160.20
  5. Step 5: Solve for x
    x = 194,500,560,160.20/497,351.58
  6. Step 6: Final answer
    x = 391,072.57

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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.