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Finding the Fourth Proportional to 561,811.41, 842,801.13 and 206,798.40

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Solution

The fourth proportional to 561,811.41, 842,801.13 and 206,798.40 is: 310,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,811.41 : 842,801.13 = 206,798.40 : x
  2. Step 2: Convert to fraction form
    561,811.41/842,801.13 = 206,798.40/x
  3. Step 3: Cross multiply
    561,811.41x = 842,801.13 × 206,798.40
  4. Step 4: Simplify right side
    561,811.41x = 174,289,925,202.19
  5. Step 5: Solve for x
    x = 174,289,925,202.19/561,811.41
  6. Step 6: Final answer
    x = 310,228.53

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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.