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Finding the Fourth Proportional to 290,138.48, 435,091.24 and 90,393.20

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Solution

The fourth proportional to 290,138.48, 435,091.24 and 90,393.20 is: 135,553.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,138.48 : 435,091.24 = 90,393.20 : x
  2. Step 2: Convert to fraction form
    290,138.48/435,091.24 = 90,393.20/x
  3. Step 3: Cross multiply
    290,138.48x = 435,091.24 × 90,393.20
  4. Step 4: Simplify right side
    290,138.48x = 39,329,289,475.57
  5. Step 5: Solve for x
    x = 39,329,289,475.57/290,138.48
  6. Step 6: Final answer
    x = 135,553.51

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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.