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Finding the Fourth Proportional to 384,226.20, 576,440.10 and 147,576.60

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Solution

The fourth proportional to 384,226.20, 576,440.10 and 147,576.60 is: 221,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,226.20 : 576,440.10 = 147,576.60 : x
  2. Step 2: Convert to fraction form
    384,226.20/576,440.10 = 147,576.60/x
  3. Step 3: Cross multiply
    384,226.20x = 576,440.10 × 147,576.60
  4. Step 4: Simplify right side
    384,226.20x = 85,069,070,061.66
  5. Step 5: Solve for x
    x = 85,069,070,061.66/384,226.20
  6. Step 6: Final answer
    x = 221,403.62

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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.