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Finding the Fourth Proportional to 262,471.62, 393,770.13 and 84,978.81

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Solution

The fourth proportional to 262,471.62, 393,770.13 and 84,978.81 is: 127,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,471.62 : 393,770.13 = 84,978.81 : x
  2. Step 2: Convert to fraction form
    262,471.62/393,770.13 = 84,978.81/x
  3. Step 3: Cross multiply
    262,471.62x = 393,770.13 × 84,978.81
  4. Step 4: Simplify right side
    262,471.62x = 33,462,117,060.95
  5. Step 5: Solve for x
    x = 33,462,117,060.95/262,471.62
  6. Step 6: Final answer
    x = 127,488.51

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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.