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Finding the Fourth Proportional to 393,748.29, 590,242.14 and 127,327.95

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Solution

The fourth proportional to 393,748.29, 590,242.14 and 127,327.95 is: 190,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,748.29 : 590,242.14 = 127,327.95 : x
  2. Step 2: Convert to fraction form
    393,748.29/590,242.14 = 127,327.95/x
  3. Step 3: Cross multiply
    393,748.29x = 590,242.14 × 127,327.95
  4. Step 4: Simplify right side
    393,748.29x = 75,154,321,689.81
  5. Step 5: Solve for x
    x = 75,154,321,689.81/393,748.29
  6. Step 6: Final answer
    x = 190,868.95

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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.