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Finding the Fourth Proportional to 258,987.75, 388,537.20 and 146,721.75

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Solution

The fourth proportional to 258,987.75, 388,537.20 and 146,721.75 is: 220,114.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,987.75 : 388,537.20 = 146,721.75 : x
  2. Step 2: Convert to fraction form
    258,987.75/388,537.20 = 146,721.75/x
  3. Step 3: Cross multiply
    258,987.75x = 388,537.20 × 146,721.75
  4. Step 4: Simplify right side
    258,987.75x = 57,006,857,924.10
  5. Step 5: Solve for x
    x = 57,006,857,924.10/258,987.75
  6. Step 6: Final answer
    x = 220,114.11

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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.