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Finding the Fourth Proportional to 290,578.64, 435,893.04 and 80,216.60

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Solution

The fourth proportional to 290,578.64, 435,893.04 and 80,216.60 is: 120,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,578.64 : 435,893.04 = 80,216.60 : x
  2. Step 2: Convert to fraction form
    290,578.64/435,893.04 = 80,216.60/x
  3. Step 3: Cross multiply
    290,578.64x = 435,893.04 × 80,216.60
  4. Step 4: Simplify right side
    290,578.64x = 34,965,857,632.46
  5. Step 5: Solve for x
    x = 34,965,857,632.46/290,578.64
  6. Step 6: Final answer
    x = 120,331.82

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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.