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Finding the Fourth Proportional to 258,905.66, 388,228.59 and 150,870.02

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Solution

The fourth proportional to 258,905.66, 388,228.59 and 150,870.02 is: 226,229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,905.66 : 388,228.59 = 150,870.02 : x
  2. Step 2: Convert to fraction form
    258,905.66/388,228.59 = 150,870.02/x
  3. Step 3: Cross multiply
    258,905.66x = 388,228.59 × 150,870.02
  4. Step 4: Simplify right side
    258,905.66x = 58,572,053,196.73
  5. Step 5: Solve for x
    x = 58,572,053,196.73/258,905.66
  6. Step 6: Final answer
    x = 226,229.33

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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.