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Finding the Fourth Proportional to 280,207.36, 420,596.95 and 205,104.42

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Solution

The fourth proportional to 280,207.36, 420,596.95 and 205,104.42 is: 307,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,207.36 : 420,596.95 = 205,104.42 : x
  2. Step 2: Convert to fraction form
    280,207.36/420,596.95 = 205,104.42/x
  3. Step 3: Cross multiply
    280,207.36x = 420,596.95 × 205,104.42
  4. Step 4: Simplify right side
    280,207.36x = 86,266,293,483.52
  5. Step 5: Solve for x
    x = 86,266,293,483.52/280,207.36
  6. Step 6: Final answer
    x = 307,865.91

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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.