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Finding the Fourth Proportional to 331,575.40, 497,363.10 and 82,257.40

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Solution

The fourth proportional to 331,575.40, 497,363.10 and 82,257.40 is: 123,386.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,575.40 : 497,363.10 = 82,257.40 : x
  2. Step 2: Convert to fraction form
    331,575.40/497,363.10 = 82,257.40/x
  3. Step 3: Cross multiply
    331,575.40x = 497,363.10 × 82,257.40
  4. Step 4: Simplify right side
    331,575.40x = 40,911,795,461.94
  5. Step 5: Solve for x
    x = 40,911,795,461.94/331,575.40
  6. Step 6: Final answer
    x = 123,386.10

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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.