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Finding the Fourth Proportional to 305,590.32, 421,694.64 and 169,617.78

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Solution

The fourth proportional to 305,590.32, 421,694.64 and 169,617.78 is: 234,061.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,590.32 : 421,694.64 = 169,617.78 : x
  2. Step 2: Convert to fraction form
    305,590.32/421,694.64 = 169,617.78/x
  3. Step 3: Cross multiply
    305,590.32x = 421,694.64 × 169,617.78
  4. Step 4: Simplify right side
    305,590.32x = 71,526,908,674.70
  5. Step 5: Solve for x
    x = 71,526,908,674.70/305,590.32
  6. Step 6: Final answer
    x = 234,061.43

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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.