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Finding the Fourth Proportional to 652,119.80, 978,471.30 and 231,697.40

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Solution

The fourth proportional to 652,119.80, 978,471.30 and 231,697.40 is: 347,649.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,119.80 : 978,471.30 = 231,697.40 : x
  2. Step 2: Convert to fraction form
    652,119.80/978,471.30 = 231,697.40/x
  3. Step 3: Cross multiply
    652,119.80x = 978,471.30 × 231,697.40
  4. Step 4: Simplify right side
    652,119.80x = 226,709,256,184.62
  5. Step 5: Solve for x
    x = 226,709,256,184.62/652,119.80
  6. Step 6: Final answer
    x = 347,649.71

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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.