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Finding the Fourth Proportional to 400,983.54, 601,432.95 and 211,367.91

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Solution

The fourth proportional to 400,983.54, 601,432.95 and 211,367.91 is: 317,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,983.54 : 601,432.95 = 211,367.91 : x
  2. Step 2: Convert to fraction form
    400,983.54/601,432.95 = 211,367.91/x
  3. Step 3: Cross multiply
    400,983.54x = 601,432.95 × 211,367.91
  4. Step 4: Simplify right side
    400,983.54x = 127,123,625,646.63
  5. Step 5: Solve for x
    x = 127,123,625,646.63/400,983.54
  6. Step 6: Final answer
    x = 317,029.54

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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.