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Finding the Fourth Proportional to 322,881.48, 484,284.40 and 86,242.61

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Solution

The fourth proportional to 322,881.48, 484,284.40 and 86,242.61 is: 129,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,881.48 : 484,284.40 = 86,242.61 : x
  2. Step 2: Convert to fraction form
    322,881.48/484,284.40 = 86,242.61/x
  3. Step 3: Cross multiply
    322,881.48x = 484,284.40 × 86,242.61
  4. Step 4: Simplify right side
    322,881.48x = 41,765,950,638.28
  5. Step 5: Solve for x
    x = 41,765,950,638.28/322,881.48
  6. Step 6: Final answer
    x = 129,353.81

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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.