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Finding the Fourth Proportional to 294,840.82, 442,490.87 and 205,512.81

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Solution

The fourth proportional to 294,840.82, 442,490.87 and 205,512.81 is: 308,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,840.82 : 442,490.87 = 205,512.81 : x
  2. Step 2: Convert to fraction form
    294,840.82/442,490.87 = 205,512.81/x
  3. Step 3: Cross multiply
    294,840.82x = 442,490.87 × 205,512.81
  4. Step 4: Simplify right side
    294,840.82x = 90,937,539,791.48
  5. Step 5: Solve for x
    x = 90,937,539,791.48/294,840.82
  6. Step 6: Final answer
    x = 308,429.27

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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.