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Finding the Fourth Proportional to 281,225.10, 422,821.80 and 275,320.20

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Solution

The fourth proportional to 281,225.10, 422,821.80 and 275,320.20 is: 413,943.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,225.10 : 422,821.80 = 275,320.20 : x
  2. Step 2: Convert to fraction form
    281,225.10/422,821.80 = 275,320.20/x
  3. Step 3: Cross multiply
    281,225.10x = 422,821.80 × 275,320.20
  4. Step 4: Simplify right side
    281,225.10x = 116,411,382,540.36
  5. Step 5: Solve for x
    x = 116,411,382,540.36/281,225.10
  6. Step 6: Final answer
    x = 413,943.79

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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.