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Finding the Fourth Proportional to 322,664.64, 484,020 and 86,006.08

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Solution

The fourth proportional to 322,664.64, 484,020 and 86,006.08 is: 129,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,664.64 : 484,020 = 86,006.08 : x
  2. Step 2: Convert to fraction form
    322,664.64/484,020 = 86,006.08/x
  3. Step 3: Cross multiply
    322,664.64x = 484,020 × 86,006.08
  4. Step 4: Simplify right side
    322,664.64x = 41,628,662,841.60
  5. Step 5: Solve for x
    x = 41,628,662,841.60/322,664.64
  6. Step 6: Final answer
    x = 129,015.26

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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.