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Finding the Fourth Proportional to 393,767.76, 590,709.60 and 127,439.76

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Solution

The fourth proportional to 393,767.76, 590,709.60 and 127,439.76 is: 191,178.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,767.76 : 590,709.60 = 127,439.76 : x
  2. Step 2: Convert to fraction form
    393,767.76/590,709.60 = 127,439.76/x
  3. Step 3: Cross multiply
    393,767.76x = 590,709.60 × 127,439.76
  4. Step 4: Simplify right side
    393,767.76x = 75,279,889,653.70
  5. Step 5: Solve for x
    x = 75,279,889,653.70/393,767.76
  6. Step 6: Final answer
    x = 191,178.40

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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.