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Finding the Fourth Proportional to 312,478.82, 431,220.62 and 169,238.86

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Solution

The fourth proportional to 312,478.82, 431,220.62 and 169,238.86 is: 233,549.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,478.82 : 431,220.62 = 169,238.86 : x
  2. Step 2: Convert to fraction form
    312,478.82/431,220.62 = 169,238.86/x
  3. Step 3: Cross multiply
    312,478.82x = 431,220.62 × 169,238.86
  4. Step 4: Simplify right side
    312,478.82x = 72,979,286,137.29
  5. Step 5: Solve for x
    x = 72,979,286,137.29/312,478.82
  6. Step 6: Final answer
    x = 233,549.54

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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.