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Finding the Fourth Proportional to 281,750.47, 422,491.92 and 163,458.07

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Solution

The fourth proportional to 281,750.47, 422,491.92 and 163,458.07 is: 245,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,750.47 : 422,491.92 = 163,458.07 : x
  2. Step 2: Convert to fraction form
    281,750.47/422,491.92 = 163,458.07/x
  3. Step 3: Cross multiply
    281,750.47x = 422,491.92 × 163,458.07
  4. Step 4: Simplify right side
    281,750.47x = 69,059,713,833.79
  5. Step 5: Solve for x
    x = 69,059,713,833.79/281,750.47
  6. Step 6: Final answer
    x = 245,109.49

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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.