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Finding the Fourth Proportional to 312,406.32, 431,120.96 and 169,166.49

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Solution

The fourth proportional to 312,406.32, 431,120.96 and 169,166.49 is: 233,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,406.32 : 431,120.96 = 169,166.49 : x
  2. Step 2: Convert to fraction form
    312,406.32/431,120.96 = 169,166.49/x
  3. Step 3: Cross multiply
    312,406.32x = 431,120.96 × 169,166.49
  4. Step 4: Simplify right side
    312,406.32x = 72,931,219,568.63
  5. Step 5: Solve for x
    x = 72,931,219,568.63/312,406.32
  6. Step 6: Final answer
    x = 233,449.89

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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.