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Finding the Fourth Proportional to 492,253.37, 738,209.28 and 172,398.18

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Solution

The fourth proportional to 492,253.37, 738,209.28 and 172,398.18 is: 258,537.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,253.37 : 738,209.28 = 172,398.18 : x
  2. Step 2: Convert to fraction form
    492,253.37/738,209.28 = 172,398.18/x
  3. Step 3: Cross multiply
    492,253.37x = 738,209.28 × 172,398.18
  4. Step 4: Simplify right side
    492,253.37x = 127,265,935,469.12
  5. Step 5: Solve for x
    x = 127,265,935,469.12/492,253.37
  6. Step 6: Final answer
    x = 258,537.46

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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.