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Finding the Fourth Proportional to 281,012.60, 420,644.10 and 272,264.60

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Solution

The fourth proportional to 281,012.60, 420,644.10 and 272,264.60 is: 407,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,012.60 : 420,644.10 = 272,264.60 : x
  2. Step 2: Convert to fraction form
    281,012.60/420,644.10 = 272,264.60/x
  3. Step 3: Cross multiply
    281,012.60x = 420,644.10 × 272,264.60
  4. Step 4: Simplify right side
    281,012.60x = 114,526,497,628.86
  5. Step 5: Solve for x
    x = 114,526,497,628.86/281,012.60
  6. Step 6: Final answer
    x = 407,549.33

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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.