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Finding the Fourth Proportional to 653,278.56, 980,298.72 and 274,167.24

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Solution

The fourth proportional to 653,278.56, 980,298.72 and 274,167.24 is: 411,410.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,278.56 : 980,298.72 = 274,167.24 : x
  2. Step 2: Convert to fraction form
    653,278.56/980,298.72 = 274,167.24/x
  3. Step 3: Cross multiply
    653,278.56x = 980,298.72 × 274,167.24
  4. Step 4: Simplify right side
    653,278.56x = 268,765,794,437.93
  5. Step 5: Solve for x
    x = 268,765,794,437.93/653,278.56
  6. Step 6: Final answer
    x = 411,410.71

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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.