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Finding the Fourth Proportional to 375,672.48, 518,425.08 and 205,906.20

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Solution

The fourth proportional to 375,672.48, 518,425.08 and 205,906.20 is: 284,148.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,672.48 : 518,425.08 = 205,906.20 : x
  2. Step 2: Convert to fraction form
    375,672.48/518,425.08 = 205,906.20/x
  3. Step 3: Cross multiply
    375,672.48x = 518,425.08 × 205,906.20
  4. Step 4: Simplify right side
    375,672.48x = 106,746,938,207.50
  5. Step 5: Solve for x
    x = 106,746,938,207.50/375,672.48
  6. Step 6: Final answer
    x = 284,148.94

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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.