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Finding the Fourth Proportional to 442,858.40, 664,287.60 and 301,140.80

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Solution

The fourth proportional to 442,858.40, 664,287.60 and 301,140.80 is: 451,711.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,858.40 : 664,287.60 = 301,140.80 : x
  2. Step 2: Convert to fraction form
    442,858.40/664,287.60 = 301,140.80/x
  3. Step 3: Cross multiply
    442,858.40x = 664,287.60 × 301,140.80
  4. Step 4: Simplify right side
    442,858.40x = 200,044,099,294.08
  5. Step 5: Solve for x
    x = 200,044,099,294.08/442,858.40
  6. Step 6: Final answer
    x = 451,711.20

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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.