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Finding the Fourth Proportional to 305,162.31, 421,124.10 and 169,197.87

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Solution

The fourth proportional to 305,162.31, 421,124.10 and 169,197.87 is: 233,493.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,162.31 : 421,124.10 = 169,197.87 : x
  2. Step 2: Convert to fraction form
    305,162.31/421,124.10 = 169,197.87/x
  3. Step 3: Cross multiply
    305,162.31x = 421,124.10 × 169,197.87
  4. Step 4: Simplify right side
    305,162.31x = 71,253,300,725.67
  5. Step 5: Solve for x
    x = 71,253,300,725.67/305,162.31
  6. Step 6: Final answer
    x = 233,493.12

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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.