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Finding the Fourth Proportional to 308,286, 462,429.02 and 86,670

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Solution

The fourth proportional to 308,286, 462,429.02 and 86,670 is: 130,005.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,286 : 462,429.02 = 86,670 : x
  2. Step 2: Convert to fraction form
    308,286/462,429.02 = 86,670/x
  3. Step 3: Cross multiply
    308,286x = 462,429.02 × 86,670
  4. Step 4: Simplify right side
    308,286x = 40,078,723,163.40
  5. Step 5: Solve for x
    x = 40,078,723,163.40/308,286
  6. Step 6: Final answer
    x = 130,005.01

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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.