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Finding the Fourth Proportional to 375,966.28, 518,840.58 and 206,209

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Solution

The fourth proportional to 375,966.28, 518,840.58 and 206,209 is: 284,572.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,966.28 : 518,840.58 = 206,209 : x
  2. Step 2: Convert to fraction form
    375,966.28/518,840.58 = 206,209/x
  3. Step 3: Cross multiply
    375,966.28x = 518,840.58 × 206,209
  4. Step 4: Simplify right side
    375,966.28x = 106,989,597,161.22
  5. Step 5: Solve for x
    x = 106,989,597,161.22/375,966.28
  6. Step 6: Final answer
    x = 284,572.32

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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.