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Finding the Fourth Proportional to 259,164.36, 388,248.48 and 159,032.88

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Solution

The fourth proportional to 259,164.36, 388,248.48 and 159,032.88 is: 238,243.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,164.36 : 388,248.48 = 159,032.88 : x
  2. Step 2: Convert to fraction form
    259,164.36/388,248.48 = 159,032.88/x
  3. Step 3: Cross multiply
    259,164.36x = 388,248.48 × 159,032.88
  4. Step 4: Simplify right side
    259,164.36x = 61,744,273,930.02
  5. Step 5: Solve for x
    x = 61,744,273,930.02/259,164.36
  6. Step 6: Final answer
    x = 238,243.69

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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.