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Finding the Fourth Proportional to 258,428.40, 387,757.80 and 118,114.80

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Solution

The fourth proportional to 258,428.40, 387,757.80 and 118,114.80 is: 177,224.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,428.40 : 387,757.80 = 118,114.80 : x
  2. Step 2: Convert to fraction form
    258,428.40/387,757.80 = 118,114.80/x
  3. Step 3: Cross multiply
    258,428.40x = 387,757.80 × 118,114.80
  4. Step 4: Simplify right side
    258,428.40x = 45,799,934,995.44
  5. Step 5: Solve for x
    x = 45,799,934,995.44/258,428.40
  6. Step 6: Final answer
    x = 177,224.85

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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.