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Finding the Fourth Proportional to 658,250, 987,378.24 and 159,614

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Solution

The fourth proportional to 658,250, 987,378.24 and 159,614 is: 239,421.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,250 : 987,378.24 = 159,614 : x
  2. Step 2: Convert to fraction form
    658,250/987,378.24 = 159,614/x
  3. Step 3: Cross multiply
    658,250x = 987,378.24 × 159,614
  4. Step 4: Simplify right side
    658,250x = 157,599,390,399.36
  5. Step 5: Solve for x
    x = 157,599,390,399.36/658,250
  6. Step 6: Final answer
    x = 239,421.79

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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.