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Finding the Fourth Proportional to 386,143.16, 532,891.98 and 216,371

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Solution

The fourth proportional to 386,143.16, 532,891.98 and 216,371 is: 298,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,143.16 : 532,891.98 = 216,371 : x
  2. Step 2: Convert to fraction form
    386,143.16/532,891.98 = 216,371/x
  3. Step 3: Cross multiply
    386,143.16x = 532,891.98 × 216,371
  4. Step 4: Simplify right side
    386,143.16x = 115,302,370,604.58
  5. Step 5: Solve for x
    x = 115,302,370,604.58/386,143.16
  6. Step 6: Final answer
    x = 298,600.06

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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.