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Finding the Fourth Proportional to 384,120.28, 577,442.40 and 356,375.55

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Solution

The fourth proportional to 384,120.28, 577,442.40 and 356,375.55 is: 535,734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,120.28 : 577,442.40 = 356,375.55 : x
  2. Step 2: Convert to fraction form
    384,120.28/577,442.40 = 356,375.55/x
  3. Step 3: Cross multiply
    384,120.28x = 577,442.40 × 356,375.55
  4. Step 4: Simplify right side
    384,120.28x = 205,786,352,893.32
  5. Step 5: Solve for x
    x = 205,786,352,893.32/384,120.28
  6. Step 6: Final answer
    x = 535,734.15

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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.