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Finding the Fourth Proportional to 306,065.52, 422,370 and 170,095.20

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Solution

The fourth proportional to 306,065.52, 422,370 and 170,095.20 is: 234,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,065.52 : 422,370 = 170,095.20 : x
  2. Step 2: Convert to fraction form
    306,065.52/422,370 = 170,095.20/x
  3. Step 3: Cross multiply
    306,065.52x = 422,370 × 170,095.20
  4. Step 4: Simplify right side
    306,065.52x = 71,843,109,624
  5. Step 5: Solve for x
    x = 71,843,109,624/306,065.52
  6. Step 6: Final answer
    x = 234,731.14

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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.