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Finding the Fourth Proportional to 561,874.32, 842,417.19 and 206,842.80

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Solution

The fourth proportional to 561,874.32, 842,417.19 and 206,842.80 is: 310,119.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,874.32 : 842,417.19 = 206,842.80 : x
  2. Step 2: Convert to fraction form
    561,874.32/842,417.19 = 206,842.80/x
  3. Step 3: Cross multiply
    561,874.32x = 842,417.19 × 206,842.80
  4. Step 4: Simplify right side
    561,874.32x = 174,247,930,347.73
  5. Step 5: Solve for x
    x = 174,247,930,347.73/561,874.32
  6. Step 6: Final answer
    x = 310,119.05

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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.