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Finding the Fourth Proportional to 270,971.87, 406,371.67 and 253,281.74

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Solution

The fourth proportional to 270,971.87, 406,371.67 and 253,281.74 is: 379,842.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,971.87 : 406,371.67 = 253,281.74 : x
  2. Step 2: Convert to fraction form
    270,971.87/406,371.67 = 253,281.74/x
  3. Step 3: Cross multiply
    270,971.87x = 406,371.67 × 253,281.74
  4. Step 4: Simplify right side
    270,971.87x = 102,926,520,999.24
  5. Step 5: Solve for x
    x = 102,926,520,999.24/270,971.87
  6. Step 6: Final answer
    x = 379,842.10

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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.