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Finding the Fourth Proportional to 384,360.80, 576,541.20 and 378,455.90

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Solution

The fourth proportional to 384,360.80, 576,541.20 and 378,455.90 is: 567,683.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,360.80 : 576,541.20 = 378,455.90 : x
  2. Step 2: Convert to fraction form
    384,360.80/576,541.20 = 378,455.90/x
  3. Step 3: Cross multiply
    384,360.80x = 576,541.20 × 378,455.90
  4. Step 4: Simplify right side
    384,360.80x = 218,195,418,733.08
  5. Step 5: Solve for x
    x = 218,195,418,733.08/384,360.80
  6. Step 6: Final answer
    x = 567,683.85

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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.