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Finding the Fourth Proportional to 805,257.16, 1,207,000 and 331,684.18

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Solution

The fourth proportional to 805,257.16, 1,207,000 and 331,684.18 is: 497,161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,257.16 : 1,207,000 = 331,684.18 : x
  2. Step 2: Convert to fraction form
    805,257.16/1,207,000 = 331,684.18/x
  3. Step 3: Cross multiply
    805,257.16x = 1,207,000 × 331,684.18
  4. Step 4: Simplify right side
    805,257.16x = 400,342,805,260
  5. Step 5: Solve for x
    x = 400,342,805,260/805,257.16
  6. Step 6: Final answer
    x = 497,161.44

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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.