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Finding the Fourth Proportional to 341,355.72, 512,087.04 and 278,023.44

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Solution

The fourth proportional to 341,355.72, 512,087.04 and 278,023.44 is: 417,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,355.72 : 512,087.04 = 278,023.44 : x
  2. Step 2: Convert to fraction form
    341,355.72/512,087.04 = 278,023.44/x
  3. Step 3: Cross multiply
    341,355.72x = 512,087.04 × 278,023.44
  4. Step 4: Simplify right side
    341,355.72x = 142,372,200,440.22
  5. Step 5: Solve for x
    x = 142,372,200,440.22/341,355.72
  6. Step 6: Final answer
    x = 417,078.70

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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.