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Finding the Fourth Proportional to 312,460.80, 431,196.96 and 169,220.40

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Solution

The fourth proportional to 312,460.80, 431,196.96 and 169,220.40 is: 233,524.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,460.80 : 431,196.96 = 169,220.40 : x
  2. Step 2: Convert to fraction form
    312,460.80/431,196.96 = 169,220.40/x
  3. Step 3: Cross multiply
    312,460.80x = 431,196.96 × 169,220.40
  4. Step 4: Simplify right side
    312,460.80x = 72,967,322,049.98
  5. Step 5: Solve for x
    x = 72,967,322,049.98/312,460.80
  6. Step 6: Final answer
    x = 233,524.72

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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.