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Finding the Fourth Proportional to 492,253.87, 738,210.02 and 172,398.68

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Solution

The fourth proportional to 492,253.87, 738,210.02 and 172,398.68 is: 258,538.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,253.87 : 738,210.02 = 172,398.68 : x
  2. Step 2: Convert to fraction form
    492,253.87/738,210.02 = 172,398.68/x
  3. Step 3: Cross multiply
    492,253.87x = 738,210.02 × 172,398.68
  4. Step 4: Simplify right side
    492,253.87x = 127,266,433,010.77
  5. Step 5: Solve for x
    x = 127,266,433,010.77/492,253.87
  6. Step 6: Final answer
    x = 258,538.21

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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.