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Finding the Fourth Proportional to 258,326.70, 387,419.77 and 163,414.41

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Solution

The fourth proportional to 258,326.70, 387,419.77 and 163,414.41 is: 245,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,326.70 : 387,419.77 = 163,414.41 : x
  2. Step 2: Convert to fraction form
    258,326.70/387,419.77 = 163,414.41/x
  3. Step 3: Cross multiply
    258,326.70x = 387,419.77 × 163,414.41
  4. Step 4: Simplify right side
    258,326.70x = 63,309,973,136.89
  5. Step 5: Solve for x
    x = 63,309,973,136.89/258,326.70
  6. Step 6: Final answer
    x = 245,077.16

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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.