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Finding the Fourth Proportional to 262,864.63, 394,409.94 and 85,426.03

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Solution

The fourth proportional to 262,864.63, 394,409.94 and 85,426.03 is: 128,175.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,864.63 : 394,409.94 = 85,426.03 : x
  2. Step 2: Convert to fraction form
    262,864.63/394,409.94 = 85,426.03/x
  3. Step 3: Cross multiply
    262,864.63x = 394,409.94 × 85,426.03
  4. Step 4: Simplify right side
    262,864.63x = 33,692,875,366.74
  5. Step 5: Solve for x
    x = 33,692,875,366.74/262,864.63
  6. Step 6: Final answer
    x = 128,175.77

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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.