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Finding the Fourth Proportional to 386,782, 533,768.36 and 217,028.68

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Solution

The fourth proportional to 386,782, 533,768.36 and 217,028.68 is: 299,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,782 : 533,768.36 = 217,028.68 : x
  2. Step 2: Convert to fraction form
    386,782/533,768.36 = 217,028.68/x
  3. Step 3: Cross multiply
    386,782x = 533,768.36 × 217,028.68
  4. Step 4: Simplify right side
    386,782x = 115,843,041,511.42
  5. Step 5: Solve for x
    x = 115,843,041,511.42/386,782
  6. Step 6: Final answer
    x = 299,504.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.