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Finding the Fourth Proportional to 278,420.04, 417,630.06 and 68,057.64

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Solution

The fourth proportional to 278,420.04, 417,630.06 and 68,057.64 is: 102,086.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,420.04 : 417,630.06 = 68,057.64 : x
  2. Step 2: Convert to fraction form
    278,420.04/417,630.06 = 68,057.64/x
  3. Step 3: Cross multiply
    278,420.04x = 417,630.06 × 68,057.64
  4. Step 4: Simplify right side
    278,420.04x = 28,422,916,276.66
  5. Step 5: Solve for x
    x = 28,422,916,276.66/278,420.04
  6. Step 6: Final answer
    x = 102,086.46

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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.