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Finding the Fourth Proportional to 407,966.80, 611,431.80 and 197,150.80

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Solution

The fourth proportional to 407,966.80, 611,431.80 and 197,150.80 is: 295,475.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,966.80 : 611,431.80 = 197,150.80 : x
  2. Step 2: Convert to fraction form
    407,966.80/611,431.80 = 197,150.80/x
  3. Step 3: Cross multiply
    407,966.80x = 611,431.80 × 197,150.80
  4. Step 4: Simplify right side
    407,966.80x = 120,544,268,515.44
  5. Step 5: Solve for x
    x = 120,544,268,515.44/407,966.80
  6. Step 6: Final answer
    x = 295,475.68

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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.