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Finding the Fourth Proportional to 216,338.71, 324,508.29 and 56,414.50

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Solution

The fourth proportional to 216,338.71, 324,508.29 and 56,414.50 is: 84,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,338.71 : 324,508.29 = 56,414.50 : x
  2. Step 2: Convert to fraction form
    216,338.71/324,508.29 = 56,414.50/x
  3. Step 3: Cross multiply
    216,338.71x = 324,508.29 × 56,414.50
  4. Step 4: Simplify right side
    216,338.71x = 18,306,972,926.21
  5. Step 5: Solve for x
    x = 18,306,972,926.21/216,338.71
  6. Step 6: Final answer
    x = 84,621.81

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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.