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Finding the Fourth Proportional to 312,742.62, 431,585.55 and 169,502.49

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Solution

The fourth proportional to 312,742.62, 431,585.55 and 169,502.49 is: 233,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,742.62 : 431,585.55 = 169,502.49 : x
  2. Step 2: Convert to fraction form
    312,742.62/431,585.55 = 169,502.49/x
  3. Step 3: Cross multiply
    312,742.62x = 431,585.55 × 169,502.49
  4. Step 4: Simplify right side
    312,742.62x = 73,154,825,373.02
  5. Step 5: Solve for x
    x = 73,154,825,373.02/312,742.62
  6. Step 6: Final answer
    x = 233,913.83

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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.