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Finding the Fourth Proportional to 305,406.59, 421,446.87 and 169,439.09

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Solution

The fourth proportional to 305,406.59, 421,446.87 and 169,439.09 is: 233,818.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,406.59 : 421,446.87 = 169,439.09 : x
  2. Step 2: Convert to fraction form
    305,406.59/421,446.87 = 169,439.09/x
  3. Step 3: Cross multiply
    305,406.59x = 421,446.87 × 169,439.09
  4. Step 4: Simplify right side
    305,406.59x = 71,409,572,028.91
  5. Step 5: Solve for x
    x = 71,409,572,028.91/305,406.59
  6. Step 6: Final answer
    x = 233,818.05

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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.