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Finding the Fourth Proportional to 305,337.74, 421,345.14 and 169,366.28

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Solution

The fourth proportional to 305,337.74, 421,345.14 and 169,366.28 is: 233,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,337.74 : 421,345.14 = 169,366.28 : x
  2. Step 2: Convert to fraction form
    305,337.74/421,345.14 = 169,366.28/x
  3. Step 3: Cross multiply
    305,337.74x = 421,345.14 × 169,366.28
  4. Step 4: Simplify right side
    305,337.74x = 71,361,658,957.88
  5. Step 5: Solve for x
    x = 71,361,658,957.88/305,337.74
  6. Step 6: Final answer
    x = 233,713.85

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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.