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Finding the Fourth Proportional to 312,346.32, 431,020.44 and 176,371.44

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Solution

The fourth proportional to 312,346.32, 431,020.44 and 176,371.44 is: 243,382.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,346.32 : 431,020.44 = 176,371.44 : x
  2. Step 2: Convert to fraction form
    312,346.32/431,020.44 = 176,371.44/x
  3. Step 3: Cross multiply
    312,346.32x = 431,020.44 × 176,371.44
  4. Step 4: Simplify right side
    312,346.32x = 76,019,695,672.23
  5. Step 5: Solve for x
    x = 76,019,695,672.23/312,346.32
  6. Step 6: Final answer
    x = 243,382.72

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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.