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Finding the Fourth Proportional to 653,505.63, 980,642.13 and 274,397.22

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Solution

The fourth proportional to 653,505.63, 980,642.13 and 274,397.22 is: 411,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,505.63 : 980,642.13 = 274,397.22 : x
  2. Step 2: Convert to fraction form
    653,505.63/980,642.13 = 274,397.22/x
  3. Step 3: Cross multiply
    653,505.63x = 980,642.13 × 274,397.22
  4. Step 4: Simplify right side
    653,505.63x = 269,085,474,286.88
  5. Step 5: Solve for x
    x = 269,085,474,286.88/653,505.63
  6. Step 6: Final answer
    x = 411,756.93

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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.