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Finding the Fourth Proportional to 262,471.43, 393,769.86 and 84,978.63

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Solution

The fourth proportional to 262,471.43, 393,769.86 and 84,978.63 is: 127,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,471.43 : 393,769.86 = 84,978.63 : x
  2. Step 2: Convert to fraction form
    262,471.43/393,769.86 = 84,978.63/x
  3. Step 3: Cross multiply
    262,471.43x = 393,769.86 × 84,978.63
  4. Step 4: Simplify right side
    262,471.43x = 33,462,022,919.42
  5. Step 5: Solve for x
    x = 33,462,022,919.42/262,471.43
  6. Step 6: Final answer
    x = 127,488.25

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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.