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Finding the Fourth Proportional to 312,288.48, 468,451.92 and 125,275.68

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Solution

The fourth proportional to 312,288.48, 468,451.92 and 125,275.68 is: 187,921.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,288.48 : 468,451.92 = 125,275.68 : x
  2. Step 2: Convert to fraction form
    312,288.48/468,451.92 = 125,275.68/x
  3. Step 3: Cross multiply
    312,288.48x = 468,451.92 × 125,275.68
  4. Step 4: Simplify right side
    312,288.48x = 58,685,632,825.31
  5. Step 5: Solve for x
    x = 58,685,632,825.31/312,288.48
  6. Step 6: Final answer
    x = 187,921.22

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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.