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Finding the Fourth Proportional to 274,298.20, 411,447.30 and 96,803.80

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Solution

The fourth proportional to 274,298.20, 411,447.30 and 96,803.80 is: 145,205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,298.20 : 411,447.30 = 96,803.80 : x
  2. Step 2: Convert to fraction form
    274,298.20/411,447.30 = 96,803.80/x
  3. Step 3: Cross multiply
    274,298.20x = 411,447.30 × 96,803.80
  4. Step 4: Simplify right side
    274,298.20x = 39,829,662,139.74
  5. Step 5: Solve for x
    x = 39,829,662,139.74/274,298.20
  6. Step 6: Final answer
    x = 145,205.70

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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.