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Finding the Fourth Proportional to 295,277.20, 442,915.80 and 206,630.80

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Solution

The fourth proportional to 295,277.20, 442,915.80 and 206,630.80 is: 309,946.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,277.20 : 442,915.80 = 206,630.80 : x
  2. Step 2: Convert to fraction form
    295,277.20/442,915.80 = 206,630.80/x
  3. Step 3: Cross multiply
    295,277.20x = 442,915.80 × 206,630.80
  4. Step 4: Simplify right side
    295,277.20x = 91,520,046,086.64
  5. Step 5: Solve for x
    x = 91,520,046,086.64/295,277.20
  6. Step 6: Final answer
    x = 309,946.20

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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.