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Finding the Fourth Proportional to 443,448, 665,177.76 and 147,960

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Solution

The fourth proportional to 443,448, 665,177.76 and 147,960 is: 221,941.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,448 : 665,177.76 = 147,960 : x
  2. Step 2: Convert to fraction form
    443,448/665,177.76 = 147,960/x
  3. Step 3: Cross multiply
    443,448x = 665,177.76 × 147,960
  4. Step 4: Simplify right side
    443,448x = 98,419,701,369.60
  5. Step 5: Solve for x
    x = 98,419,701,369.60/443,448
  6. Step 6: Final answer
    x = 221,941.92

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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.