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Finding the Fourth Proportional to 407,726.80, 611,687.40 and 197,191.60

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Solution

The fourth proportional to 407,726.80, 611,687.40 and 197,191.60 is: 295,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,726.80 : 611,687.40 = 197,191.60 : x
  2. Step 2: Convert to fraction form
    407,726.80/611,687.40 = 197,191.60/x
  3. Step 3: Cross multiply
    407,726.80x = 611,687.40 × 197,191.60
  4. Step 4: Simplify right side
    407,726.80x = 120,619,617,105.84
  5. Step 5: Solve for x
    x = 120,619,617,105.84/407,726.80
  6. Step 6: Final answer
    x = 295,834.41

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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.