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Finding the Fourth Proportional to 305,139.87, 421,103.25 and 169,165.71

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Solution

The fourth proportional to 305,139.87, 421,103.25 and 169,165.71 is: 233,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,139.87 : 421,103.25 = 169,165.71 : x
  2. Step 2: Convert to fraction form
    305,139.87/421,103.25 = 169,165.71/x
  3. Step 3: Cross multiply
    305,139.87x = 421,103.25 × 169,165.71
  4. Step 4: Simplify right side
    305,139.87x = 71,236,230,269.56
  5. Step 5: Solve for x
    x = 71,236,230,269.56/305,139.87
  6. Step 6: Final answer
    x = 233,454.35

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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.