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Finding the Fourth Proportional to 290,044.18, 435,078.06 and 138,163.18

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Solution

The fourth proportional to 290,044.18, 435,078.06 and 138,163.18 is: 207,250.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,044.18 : 435,078.06 = 138,163.18 : x
  2. Step 2: Convert to fraction form
    290,044.18/435,078.06 = 138,163.18/x
  3. Step 3: Cross multiply
    290,044.18x = 435,078.06 × 138,163.18
  4. Step 4: Simplify right side
    290,044.18x = 60,111,766,692.72
  5. Step 5: Solve for x
    x = 60,111,766,692.72/290,044.18
  6. Step 6: Final answer
    x = 207,250.38

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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.