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Finding the Fourth Proportional to 305,171.65, 421,120.01 and 169,197.66

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Solution

The fourth proportional to 305,171.65, 421,120.01 and 169,197.66 is: 233,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,171.65 : 421,120.01 = 169,197.66 : x
  2. Step 2: Convert to fraction form
    305,171.65/421,120.01 = 169,197.66/x
  3. Step 3: Cross multiply
    305,171.65x = 421,120.01 × 169,197.66
  4. Step 4: Simplify right side
    305,171.65x = 71,252,520,694.17
  5. Step 5: Solve for x
    x = 71,252,520,694.17/305,171.65
  6. Step 6: Final answer
    x = 233,483.42

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1.5x scale

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.