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Finding the Fourth Proportional to 258,957.51, 388,363.91 and 164,046.57

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Solution

The fourth proportional to 258,957.51, 388,363.91 and 164,046.57 is: 246,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,957.51 : 388,363.91 = 164,046.57 : x
  2. Step 2: Convert to fraction form
    258,957.51/388,363.91 = 164,046.57/x
  3. Step 3: Cross multiply
    258,957.51x = 388,363.91 × 164,046.57
  4. Step 4: Simplify right side
    258,957.51x = 63,709,766,527.06
  5. Step 5: Solve for x
    x = 63,709,766,527.06/258,957.51
  6. Step 6: Final answer
    x = 246,024.02

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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.