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Finding the Fourth Proportional to 442,915.80, 664,373.70 and 243,850.20

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Solution

The fourth proportional to 442,915.80, 664,373.70 and 243,850.20 is: 365,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,915.80 : 664,373.70 = 243,850.20 : x
  2. Step 2: Convert to fraction form
    442,915.80/664,373.70 = 243,850.20/x
  3. Step 3: Cross multiply
    442,915.80x = 664,373.70 × 243,850.20
  4. Step 4: Simplify right side
    442,915.80x = 162,007,659,619.74
  5. Step 5: Solve for x
    x = 162,007,659,619.74/442,915.80
  6. Step 6: Final answer
    x = 365,775.30

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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.