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Finding the Fourth Proportional to 338,722.87, 508,084.52 and 86,022.31

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Solution

The fourth proportional to 338,722.87, 508,084.52 and 86,022.31 is: 129,033.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,722.87 : 508,084.52 = 86,022.31 : x
  2. Step 2: Convert to fraction form
    338,722.87/508,084.52 = 86,022.31/x
  3. Step 3: Cross multiply
    338,722.87x = 508,084.52 × 86,022.31
  4. Step 4: Simplify right side
    338,722.87x = 43,706,602,815.43
  5. Step 5: Solve for x
    x = 43,706,602,815.43/338,722.87
  6. Step 6: Final answer
    x = 129,033.52

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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.