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Finding the Fourth Proportional to 384,172.61, 576,286.76 and 147,515.29

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Solution

The fourth proportional to 384,172.61, 576,286.76 and 147,515.29 is: 221,283.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,172.61 : 576,286.76 = 147,515.29 : x
  2. Step 2: Convert to fraction form
    384,172.61/576,286.76 = 147,515.29/x
  3. Step 3: Cross multiply
    384,172.61x = 576,286.76 × 147,515.29
  4. Step 4: Simplify right side
    384,172.61x = 85,011,107,452.63
  5. Step 5: Solve for x
    x = 85,011,107,452.63/384,172.61
  6. Step 6: Final answer
    x = 221,283.63

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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.