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Finding the Fourth Proportional to 280,483.91, 420,414.22 and 213,703.87

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Solution

The fourth proportional to 280,483.91, 420,414.22 and 213,703.87 is: 320,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,483.91 : 420,414.22 = 213,703.87 : x
  2. Step 2: Convert to fraction form
    280,483.91/420,414.22 = 213,703.87/x
  3. Step 3: Cross multiply
    280,483.91x = 420,414.22 × 213,703.87
  4. Step 4: Simplify right side
    280,483.91x = 89,844,142,646.44
  5. Step 5: Solve for x
    x = 89,844,142,646.44/280,483.91
  6. Step 6: Final answer
    x = 320,318.35

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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.