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Finding the Fourth Proportional to 312,565.96, 431,343.06 and 169,325.88

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Solution

The fourth proportional to 312,565.96, 431,343.06 and 169,325.88 is: 233,670.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,565.96 : 431,343.06 = 169,325.88 : x
  2. Step 2: Convert to fraction form
    312,565.96/431,343.06 = 169,325.88/x
  3. Step 3: Cross multiply
    312,565.96x = 431,343.06 × 169,325.88
  4. Step 4: Simplify right side
    312,565.96x = 73,037,543,216.39
  5. Step 5: Solve for x
    x = 73,037,543,216.39/312,565.96
  6. Step 6: Final answer
    x = 233,670.82

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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.