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Finding the Fourth Proportional to 658,109, 987,163.64 and 237,384.83

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Solution

The fourth proportional to 658,109, 987,163.64 and 237,384.83 is: 356,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,109 : 987,163.64 = 237,384.83 : x
  2. Step 2: Convert to fraction form
    658,109/987,163.64 = 237,384.83/x
  3. Step 3: Cross multiply
    658,109x = 987,163.64 × 237,384.83
  4. Step 4: Simplify right side
    658,109x = 234,337,671,676.66
  5. Step 5: Solve for x
    x = 234,337,671,676.66/658,109
  6. Step 6: Final answer
    x = 356,077.29

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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.