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Finding the Fourth Proportional to 308,238, 462,357 and 86,622

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Solution

The fourth proportional to 308,238, 462,357 and 86,622 is: 129,933

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,238 : 462,357 = 86,622 : x
  2. Step 2: Convert to fraction form
    308,238/462,357 = 86,622/x
  3. Step 3: Cross multiply
    308,238x = 462,357 × 86,622
  4. Step 4: Simplify right side
    308,238x = 40,050,288,054
  5. Step 5: Solve for x
    x = 40,050,288,054/308,238
  6. Step 6: Final answer
    x = 129,933

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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.