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Finding the Fourth Proportional to 375,980.21, 518,885.49 and 206,247.14

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Solution

The fourth proportional to 375,980.21, 518,885.49 and 206,247.14 is: 284,639.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,980.21 : 518,885.49 = 206,247.14 : x
  2. Step 2: Convert to fraction form
    375,980.21/518,885.49 = 206,247.14/x
  3. Step 3: Cross multiply
    375,980.21x = 518,885.49 × 206,247.14
  4. Step 4: Simplify right side
    375,980.21x = 107,018,649,597.21
  5. Step 5: Solve for x
    x = 107,018,649,597.21/375,980.21
  6. Step 6: Final answer
    x = 284,639.05

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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.