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Finding the Fourth Proportional to 295,685.40, 408,046.01 and 159,719.34

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Solution

The fourth proportional to 295,685.40, 408,046.01 and 159,719.34 is: 220,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,685.40 : 408,046.01 = 159,719.34 : x
  2. Step 2: Convert to fraction form
    295,685.40/408,046.01 = 159,719.34/x
  3. Step 3: Cross multiply
    295,685.40x = 408,046.01 × 159,719.34
  4. Step 4: Simplify right side
    295,685.40x = 65,172,838,608.24
  5. Step 5: Solve for x
    x = 65,172,838,608.24/295,685.40
  6. Step 6: Final answer
    x = 220,412.77

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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.