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Finding the Fourth Proportional to 270,702.71, 405,825.74 and 170,642.39

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Solution

The fourth proportional to 270,702.71, 405,825.74 and 170,642.39 is: 255,819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,702.71 : 405,825.74 = 170,642.39 : x
  2. Step 2: Convert to fraction form
    270,702.71/405,825.74 = 170,642.39/x
  3. Step 3: Cross multiply
    270,702.71x = 405,825.74 × 170,642.39
  4. Step 4: Simplify right side
    270,702.71x = 69,251,073,343.91
  5. Step 5: Solve for x
    x = 69,251,073,343.91/270,702.71
  6. Step 6: Final answer
    x = 255,819.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.