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Finding the Fourth Proportional to 305,351.57, 421,384.78 and 169,406.13

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Solution

The fourth proportional to 305,351.57, 421,384.78 and 169,406.13 is: 233,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,351.57 : 421,384.78 = 169,406.13 : x
  2. Step 2: Convert to fraction form
    305,351.57/421,384.78 = 169,406.13/x
  3. Step 3: Cross multiply
    305,351.57x = 421,384.78 × 169,406.13
  4. Step 4: Simplify right side
    305,351.57x = 71,385,166,612.65
  5. Step 5: Solve for x
    x = 71,385,166,612.65/305,351.57
  6. Step 6: Final answer
    x = 233,780.25

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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.