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Finding the Fourth Proportional to 386,144.16, 532,893.36 and 216,372

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Solution

The fourth proportional to 386,144.16, 532,893.36 and 216,372 is: 298,601.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,144.16 : 532,893.36 = 216,372 : x
  2. Step 2: Convert to fraction form
    386,144.16/532,893.36 = 216,372/x
  3. Step 3: Cross multiply
    386,144.16x = 532,893.36 × 216,372
  4. Step 4: Simplify right side
    386,144.16x = 115,303,202,089.92
  5. Step 5: Solve for x
    x = 115,303,202,089.92/386,144.16
  6. Step 6: Final answer
    x = 298,601.44

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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.