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Finding the Fourth Proportional to 258,839.60, 388,352.84 and 90,384.76

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Solution

The fourth proportional to 258,839.60, 388,352.84 and 90,384.76 is: 135,609.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,839.60 : 388,352.84 = 90,384.76 : x
  2. Step 2: Convert to fraction form
    258,839.60/388,352.84 = 90,384.76/x
  3. Step 3: Cross multiply
    258,839.60x = 388,352.84 × 90,384.76
  4. Step 4: Simplify right side
    258,839.60x = 35,101,178,238.72
  5. Step 5: Solve for x
    x = 35,101,178,238.72/258,839.60
  6. Step 6: Final answer
    x = 135,609.77

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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.