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Finding the Fourth Proportional to 312,468.92, 431,206.74 and 169,228.88

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Solution

The fourth proportional to 312,468.92, 431,206.74 and 169,228.88 is: 233,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,468.92 : 431,206.74 = 169,228.88 : x
  2. Step 2: Convert to fraction form
    312,468.92/431,206.74 = 169,228.88/x
  3. Step 3: Cross multiply
    312,468.92x = 431,206.74 × 169,228.88
  4. Step 4: Simplify right side
    312,468.92x = 72,972,633,658.65
  5. Step 5: Solve for x
    x = 72,972,633,658.65/312,468.92
  6. Step 6: Final answer
    x = 233,535.65

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1.5x scale

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.