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Finding the Fourth Proportional to 305,568.59, 421,678.31 and 169,594.56

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Solution

The fourth proportional to 305,568.59, 421,678.31 and 169,594.56 is: 234,036.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,568.59 : 421,678.31 = 169,594.56 : x
  2. Step 2: Convert to fraction form
    305,568.59/421,678.31 = 169,594.56/x
  3. Step 3: Cross multiply
    305,568.59x = 421,678.31 × 169,594.56
  4. Step 4: Simplify right side
    305,568.59x = 71,514,346,598.02
  5. Step 5: Solve for x
    x = 71,514,346,598.02/305,568.59
  6. Step 6: Final answer
    x = 234,036.97

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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.