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Finding the Fourth Proportional to 312,867.60, 431,754.72 and 176,928.27

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Solution

The fourth proportional to 312,867.60, 431,754.72 and 176,928.27 is: 244,159.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,867.60 : 431,754.72 = 176,928.27 : x
  2. Step 2: Convert to fraction form
    312,867.60/431,754.72 = 176,928.27/x
  3. Step 3: Cross multiply
    312,867.60x = 431,754.72 × 176,928.27
  4. Step 4: Simplify right side
    312,867.60x = 76,389,615,673.93
  5. Step 5: Solve for x
    x = 76,389,615,673.93/312,867.60
  6. Step 6: Final answer
    x = 244,159.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.