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Finding the Fourth Proportional to 280,205.36, 420,593.95 and 205,102.42

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Solution

The fourth proportional to 280,205.36, 420,593.95 and 205,102.42 is: 307,862.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,205.36 : 420,593.95 = 205,102.42 : x
  2. Step 2: Convert to fraction form
    280,205.36/420,593.95 = 205,102.42/x
  3. Step 3: Cross multiply
    280,205.36x = 420,593.95 × 205,102.42
  4. Step 4: Simplify right side
    280,205.36x = 86,264,836,982.36
  5. Step 5: Solve for x
    x = 86,264,836,982.36/280,205.36
  6. Step 6: Final answer
    x = 307,862.91

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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.