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Finding the Fourth Proportional to 384,113.40, 576,150.90 and 197,143.80

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Solution

The fourth proportional to 384,113.40, 576,150.90 and 197,143.80 is: 295,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,113.40 : 576,150.90 = 197,143.80 : x
  2. Step 2: Convert to fraction form
    384,113.40/576,150.90 = 197,143.80/x
  3. Step 3: Cross multiply
    384,113.40x = 576,150.90 × 197,143.80
  4. Step 4: Simplify right side
    384,113.40x = 113,584,577,799.42
  5. Step 5: Solve for x
    x = 113,584,577,799.42/384,113.40
  6. Step 6: Final answer
    x = 295,705.85

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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.