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Finding the Fourth Proportional to 290,311.60, 435,467.43 and 90,649.09

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Solution

The fourth proportional to 290,311.60, 435,467.43 and 90,649.09 is: 135,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,311.60 : 435,467.43 = 90,649.09 : x
  2. Step 2: Convert to fraction form
    290,311.60/435,467.43 = 90,649.09/x
  3. Step 3: Cross multiply
    290,311.60x = 435,467.43 × 90,649.09
  4. Step 4: Simplify right side
    290,311.60x = 39,474,726,254.14
  5. Step 5: Solve for x
    x = 39,474,726,254.14/290,311.60
  6. Step 6: Final answer
    x = 135,973.64

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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.