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Finding the Fourth Proportional to 258,894.63, 388,435.10 and 90,439.74

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Solution

The fourth proportional to 258,894.63, 388,435.10 and 90,439.74 is: 135,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,894.63 : 388,435.10 = 90,439.74 : x
  2. Step 2: Convert to fraction form
    258,894.63/388,435.10 = 90,439.74/x
  3. Step 3: Cross multiply
    258,894.63x = 388,435.10 × 90,439.74
  4. Step 4: Simplify right side
    258,894.63x = 35,129,968,998.68
  5. Step 5: Solve for x
    x = 35,129,968,998.68/258,894.63
  6. Step 6: Final answer
    x = 135,692.15

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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.