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Finding the Fourth Proportional to 561,156.22, 842,069.71 and 206,206.12

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Solution

The fourth proportional to 561,156.22, 842,069.71 and 206,206.12 is: 309,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,156.22 : 842,069.71 = 206,206.12 : x
  2. Step 2: Convert to fraction form
    561,156.22/842,069.71 = 206,206.12/x
  3. Step 3: Cross multiply
    561,156.22x = 842,069.71 × 206,206.12
  4. Step 4: Simplify right side
    561,156.22x = 173,639,927,668.63
  5. Step 5: Solve for x
    x = 173,639,927,668.63/561,156.22
  6. Step 6: Final answer
    x = 309,432.42

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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.