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Finding the Fourth Proportional to 351,575.97, 527,206.27 and 209,488.20

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Solution

The fourth proportional to 351,575.97, 527,206.27 and 209,488.20 is: 314,138.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,575.97 : 527,206.27 = 209,488.20 : x
  2. Step 2: Convert to fraction form
    351,575.97/527,206.27 = 209,488.20/x
  3. Step 3: Cross multiply
    351,575.97x = 527,206.27 × 209,488.20
  4. Step 4: Simplify right side
    351,575.97x = 110,443,492,531.01
  5. Step 5: Solve for x
    x = 110,443,492,531.01/351,575.97
  6. Step 6: Final answer
    x = 314,138.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.