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Finding the Fourth Proportional to 492,897.72, 739,233.54 and 137,936.64

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Solution

The fourth proportional to 492,897.72, 739,233.54 and 137,936.64 is: 206,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,897.72 : 739,233.54 = 137,936.64 : x
  2. Step 2: Convert to fraction form
    492,897.72/739,233.54 = 137,936.64/x
  3. Step 3: Cross multiply
    492,897.72x = 739,233.54 × 137,936.64
  4. Step 4: Simplify right side
    492,897.72x = 101,967,390,682.91
  5. Step 5: Solve for x
    x = 101,967,390,682.91/492,897.72
  6. Step 6: Final answer
    x = 206,873.33

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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.