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Finding the Fourth Proportional to 443,451, 665,182.26 and 147,963

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Solution

The fourth proportional to 443,451, 665,182.26 and 147,963 is: 221,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,451 : 665,182.26 = 147,963 : x
  2. Step 2: Convert to fraction form
    443,451/665,182.26 = 147,963/x
  3. Step 3: Cross multiply
    443,451x = 665,182.26 × 147,963
  4. Step 4: Simplify right side
    443,451x = 98,422,362,736.38
  5. Step 5: Solve for x
    x = 98,422,362,736.38/443,451
  6. Step 6: Final answer
    x = 221,946.42

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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.