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Finding the Fourth Proportional to 280,914.54, 421,384.11 and 81,255.11

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Solution

The fourth proportional to 280,914.54, 421,384.11 and 81,255.11 is: 121,886.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,914.54 : 421,384.11 = 81,255.11 : x
  2. Step 2: Convert to fraction form
    280,914.54/421,384.11 = 81,255.11/x
  3. Step 3: Cross multiply
    280,914.54x = 421,384.11 × 81,255.11
  4. Step 4: Simplify right side
    280,914.54x = 34,239,612,210.30
  5. Step 5: Solve for x
    x = 34,239,612,210.30/280,914.54
  6. Step 6: Final answer
    x = 121,886.22

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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.