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Finding the Fourth Proportional to 393,470.76, 590,264.10 and 127,142.76

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Solution

The fourth proportional to 393,470.76, 590,264.10 and 127,142.76 is: 190,732.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,470.76 : 590,264.10 = 127,142.76 : x
  2. Step 2: Convert to fraction form
    393,470.76/590,264.10 = 127,142.76/x
  3. Step 3: Cross multiply
    393,470.76x = 590,264.10 × 127,142.76
  4. Step 4: Simplify right side
    393,470.76x = 75,047,806,802.92
  5. Step 5: Solve for x
    x = 75,047,806,802.92/393,470.76
  6. Step 6: Final answer
    x = 190,732.87

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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.