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Finding the Fourth Proportional to 375,981.21, 518,886.87 and 206,248.14

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Solution

The fourth proportional to 375,981.21, 518,886.87 and 206,248.14 is: 284,640.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,981.21 : 518,886.87 = 206,248.14 : x
  2. Step 2: Convert to fraction form
    375,981.21/518,886.87 = 206,248.14/x
  3. Step 3: Cross multiply
    375,981.21x = 518,886.87 × 206,248.14
  4. Step 4: Simplify right side
    375,981.21x = 107,019,451,807.92
  5. Step 5: Solve for x
    x = 107,019,451,807.92/375,981.21
  6. Step 6: Final answer
    x = 284,640.43

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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.