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Finding the Fourth Proportional to 442,851.20, 664,276.80 and 400,860.80

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Solution

The fourth proportional to 442,851.20, 664,276.80 and 400,860.80 is: 601,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,851.20 : 664,276.80 = 400,860.80 : x
  2. Step 2: Convert to fraction form
    442,851.20/664,276.80 = 400,860.80/x
  3. Step 3: Cross multiply
    442,851.20x = 664,276.80 × 400,860.80
  4. Step 4: Simplify right side
    442,851.20x = 266,282,529,469.44
  5. Step 5: Solve for x
    x = 266,282,529,469.44/442,851.20
  6. Step 6: Final answer
    x = 601,291.20

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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.