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Finding the Fourth Proportional to 280,954.40, 421,431.60 and 81,281.30

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Solution

The fourth proportional to 280,954.40, 421,431.60 and 81,281.30 is: 121,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,954.40 : 421,431.60 = 81,281.30 : x
  2. Step 2: Convert to fraction form
    280,954.40/421,431.60 = 81,281.30/x
  3. Step 3: Cross multiply
    280,954.40x = 421,431.60 × 81,281.30
  4. Step 4: Simplify right side
    280,954.40x = 34,254,508,309.08
  5. Step 5: Solve for x
    x = 34,254,508,309.08/280,954.40
  6. Step 6: Final answer
    x = 121,921.95

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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.