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Finding the Fourth Proportional to 280,722.79, 420,959.10 and 80,995.69

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Solution

The fourth proportional to 280,722.79, 420,959.10 and 80,995.69 is: 121,457.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,722.79 : 420,959.10 = 80,995.69 : x
  2. Step 2: Convert to fraction form
    280,722.79/420,959.10 = 80,995.69/x
  3. Step 3: Cross multiply
    280,722.79x = 420,959.10 × 80,995.69
  4. Step 4: Simplify right side
    280,722.79x = 34,095,872,766.28
  5. Step 5: Solve for x
    x = 34,095,872,766.28/280,722.79
  6. Step 6: Final answer
    x = 121,457.44

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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.