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Finding the Fourth Proportional to 422,019.52, 632,580.32 and 288,862.40

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Solution

The fourth proportional to 422,019.52, 632,580.32 and 288,862.40 is: 432,986.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,019.52 : 632,580.32 = 288,862.40 : x
  2. Step 2: Convert to fraction form
    422,019.52/632,580.32 = 288,862.40/x
  3. Step 3: Cross multiply
    422,019.52x = 632,580.32 × 288,862.40
  4. Step 4: Simplify right side
    422,019.52x = 182,728,669,427.97
  5. Step 5: Solve for x
    x = 182,728,669,427.97/422,019.52
  6. Step 6: Final answer
    x = 432,986.30

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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.