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Finding the Fourth Proportional to 384,212.20, 576,318.30 and 378,307.30

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Solution

The fourth proportional to 384,212.20, 576,318.30 and 378,307.30 is: 567,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,212.20 : 576,318.30 = 378,307.30 : x
  2. Step 2: Convert to fraction form
    384,212.20/576,318.30 = 378,307.30/x
  3. Step 3: Cross multiply
    384,212.20x = 576,318.30 × 378,307.30
  4. Step 4: Simplify right side
    384,212.20x = 218,025,420,013.59
  5. Step 5: Solve for x
    x = 218,025,420,013.59/384,212.20
  6. Step 6: Final answer
    x = 567,460.95

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1.5x scale

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.