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Finding the Fourth Proportional to 653,436.52, 980,290.84 and 204,139.24

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Solution

The fourth proportional to 653,436.52, 980,290.84 and 204,139.24 is: 306,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,436.52 : 980,290.84 = 204,139.24 : x
  2. Step 2: Convert to fraction form
    653,436.52/980,290.84 = 204,139.24/x
  3. Step 3: Cross multiply
    653,436.52x = 980,290.84 × 204,139.24
  4. Step 4: Simplify right side
    653,436.52x = 200,115,827,056.56
  5. Step 5: Solve for x
    x = 200,115,827,056.56/653,436.52
  6. Step 6: Final answer
    x = 306,251.37

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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.