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Finding the Fourth Proportional to 652,713.31, 978,848.21 and 226,149.56

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Solution

The fourth proportional to 652,713.31, 978,848.21 and 226,149.56 is: 339,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,713.31 : 978,848.21 = 226,149.56 : x
  2. Step 2: Convert to fraction form
    652,713.31/978,848.21 = 226,149.56/x
  3. Step 3: Cross multiply
    652,713.31x = 978,848.21 × 226,149.56
  4. Step 4: Simplify right side
    652,713.31x = 221,366,095,561.57
  5. Step 5: Solve for x
    x = 221,366,095,561.57/652,713.31
  6. Step 6: Final answer
    x = 339,147.51

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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.