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Finding the Fourth Proportional to 311,502.25, 429,873.27 and 168,262.29

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Solution

The fourth proportional to 311,502.25, 429,873.27 and 168,262.29 is: 232,202.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,502.25 : 429,873.27 = 168,262.29 : x
  2. Step 2: Convert to fraction form
    311,502.25/429,873.27 = 168,262.29/x
  3. Step 3: Cross multiply
    311,502.25x = 429,873.27 × 168,262.29
  4. Step 4: Simplify right side
    311,502.25x = 72,331,459,978.68
  5. Step 5: Solve for x
    x = 72,331,459,978.68/311,502.25
  6. Step 6: Final answer
    x = 232,202.05

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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.