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Finding the Fourth Proportional to 408,030.40, 611,872.80 and 197,732.80

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Solution

The fourth proportional to 408,030.40, 611,872.80 and 197,732.80 is: 296,515.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,030.40 : 611,872.80 = 197,732.80 : x
  2. Step 2: Convert to fraction form
    408,030.40/611,872.80 = 197,732.80/x
  3. Step 3: Cross multiply
    408,030.40x = 611,872.80 × 197,732.80
  4. Step 4: Simplify right side
    408,030.40x = 120,987,321,987.84
  5. Step 5: Solve for x
    x = 120,987,321,987.84/408,030.40
  6. Step 6: Final answer
    x = 296,515.46

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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.