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Finding the Fourth Proportional to 385,950.11, 532,603.17 and 213,866.57

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Solution

The fourth proportional to 385,950.11, 532,603.17 and 213,866.57 is: 295,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,950.11 : 532,603.17 = 213,866.57 : x
  2. Step 2: Convert to fraction form
    385,950.11/532,603.17 = 213,866.57/x
  3. Step 3: Cross multiply
    385,950.11x = 532,603.17 × 213,866.57
  4. Step 4: Simplify right side
    385,950.11x = 113,906,014,470.54
  5. Step 5: Solve for x
    x = 113,906,014,470.54/385,950.11
  6. Step 6: Final answer
    x = 295,131.45

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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.