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Finding the Fourth Proportional to 290,399, 435,614.92 and 103,410.52

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Solution

The fourth proportional to 290,399, 435,614.92 and 103,410.52 is: 155,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,399 : 435,614.92 = 103,410.52 : x
  2. Step 2: Convert to fraction form
    290,399/435,614.92 = 103,410.52/x
  3. Step 3: Cross multiply
    290,399x = 435,614.92 × 103,410.52
  4. Step 4: Simplify right side
    290,399x = 45,047,165,396.96
  5. Step 5: Solve for x
    x = 45,047,165,396.96/290,399
  6. Step 6: Final answer
    x = 155,121.63

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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.