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Finding the Fourth Proportional to 258,426.40, 387,754.80 and 118,112.80

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Solution

The fourth proportional to 258,426.40, 387,754.80 and 118,112.80 is: 177,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,426.40 : 387,754.80 = 118,112.80 : x
  2. Step 2: Convert to fraction form
    258,426.40/387,754.80 = 118,112.80/x
  3. Step 3: Cross multiply
    258,426.40x = 387,754.80 × 118,112.80
  4. Step 4: Simplify right side
    258,426.40x = 45,798,805,141.44
  5. Step 5: Solve for x
    x = 45,798,805,141.44/258,426.40
  6. Step 6: Final answer
    x = 177,221.85

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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.