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Finding the Fourth Proportional to 452,224.80, 678,348 and 136,680.48

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Solution

The fourth proportional to 452,224.80, 678,348 and 136,680.48 is: 205,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,224.80 : 678,348 = 136,680.48 : x
  2. Step 2: Convert to fraction form
    452,224.80/678,348 = 136,680.48/x
  3. Step 3: Cross multiply
    452,224.80x = 678,348 × 136,680.48
  4. Step 4: Simplify right side
    452,224.80x = 92,716,930,247.04
  5. Step 5: Solve for x
    x = 92,716,930,247.04/452,224.80
  6. Step 6: Final answer
    x = 205,023.98

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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.