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Finding the Fourth Proportional to 281,730.78, 422,596.17 and 170,689.50

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Solution

The fourth proportional to 281,730.78, 422,596.17 and 170,689.50 is: 256,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,730.78 : 422,596.17 = 170,689.50 : x
  2. Step 2: Convert to fraction form
    281,730.78/422,596.17 = 170,689.50/x
  3. Step 3: Cross multiply
    281,730.78x = 422,596.17 × 170,689.50
  4. Step 4: Simplify right side
    281,730.78x = 72,132,728,959.22
  5. Step 5: Solve for x
    x = 72,132,728,959.22/281,730.78
  6. Step 6: Final answer
    x = 256,034.25

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1.5x scale

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.