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Finding the Fourth Proportional to 561,522.30, 842,191.14 and 201,618.64

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Solution

The fourth proportional to 561,522.30, 842,191.14 and 201,618.64 is: 302,394.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,522.30 : 842,191.14 = 201,618.64 : x
  2. Step 2: Convert to fraction form
    561,522.30/842,191.14 = 201,618.64/x
  3. Step 3: Cross multiply
    561,522.30x = 842,191.14 × 201,618.64
  4. Step 4: Simplify right side
    561,522.30x = 169,801,432,266.85
  5. Step 5: Solve for x
    x = 169,801,432,266.85/561,522.30
  6. Step 6: Final answer
    x = 302,394.82

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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.