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Finding the Fourth Proportional to 294,978.70, 442,468.05 and 261,736.30

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Solution

The fourth proportional to 294,978.70, 442,468.05 and 261,736.30 is: 392,604.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,978.70 : 442,468.05 = 261,736.30 : x
  2. Step 2: Convert to fraction form
    294,978.70/442,468.05 = 261,736.30/x
  3. Step 3: Cross multiply
    294,978.70x = 442,468.05 × 261,736.30
  4. Step 4: Simplify right side
    294,978.70x = 115,809,950,275.22
  5. Step 5: Solve for x
    x = 115,809,950,275.22/294,978.70
  6. Step 6: Final answer
    x = 392,604.45

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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.