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Finding the Fourth Proportional to 652,149.40, 978,396.90 and 231,381.40

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Solution

The fourth proportional to 652,149.40, 978,396.90 and 231,381.40 is: 347,133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,149.40 : 978,396.90 = 231,381.40 : x
  2. Step 2: Convert to fraction form
    652,149.40/978,396.90 = 231,381.40/x
  3. Step 3: Cross multiply
    652,149.40x = 978,396.90 × 231,381.40
  4. Step 4: Simplify right side
    652,149.40x = 226,382,844,477.66
  5. Step 5: Solve for x
    x = 226,382,844,477.66/652,149.40
  6. Step 6: Final answer
    x = 347,133.41

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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.