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Finding the Fourth Proportional to 442,851.20, 664,276.80 and 301,133.60

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Solution

The fourth proportional to 442,851.20, 664,276.80 and 301,133.60 is: 451,700.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,851.20 : 664,276.80 = 301,133.60 : x
  2. Step 2: Convert to fraction form
    442,851.20/664,276.80 = 301,133.60/x
  3. Step 3: Cross multiply
    442,851.20x = 664,276.80 × 301,133.60
  4. Step 4: Simplify right side
    442,851.20x = 200,036,064,180.48
  5. Step 5: Solve for x
    x = 200,036,064,180.48/442,851.20
  6. Step 6: Final answer
    x = 451,700.40

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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.