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Finding the Fourth Proportional to 259,206, 388,809 and 62,214

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Solution

The fourth proportional to 259,206, 388,809 and 62,214 is: 93,321

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,206 : 388,809 = 62,214 : x
  2. Step 2: Convert to fraction form
    259,206/388,809 = 62,214/x
  3. Step 3: Cross multiply
    259,206x = 388,809 × 62,214
  4. Step 4: Simplify right side
    259,206x = 24,189,363,126
  5. Step 5: Solve for x
    x = 24,189,363,126/259,206
  6. Step 6: Final answer
    x = 93,321

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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.