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Finding the Fourth Proportional to 258,720.70, 388,081.14 and 116,399.76

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Solution

The fourth proportional to 258,720.70, 388,081.14 and 116,399.76 is: 174,599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,720.70 : 388,081.14 = 116,399.76 : x
  2. Step 2: Convert to fraction form
    258,720.70/388,081.14 = 116,399.76/x
  3. Step 3: Cross multiply
    258,720.70x = 388,081.14 × 116,399.76
  4. Step 4: Simplify right side
    258,720.70x = 45,172,551,556.53
  5. Step 5: Solve for x
    x = 45,172,551,556.53/258,720.70
  6. Step 6: Final answer
    x = 174,599.68

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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.