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Finding the Fourth Proportional to 281,318.94, 421,978.42 and 84,326.94

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Solution

The fourth proportional to 281,318.94, 421,978.42 and 84,326.94 is: 126,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,318.94 : 421,978.42 = 84,326.94 : x
  2. Step 2: Convert to fraction form
    281,318.94/421,978.42 = 84,326.94/x
  3. Step 3: Cross multiply
    281,318.94x = 421,978.42 × 84,326.94
  4. Step 4: Simplify right side
    281,318.94x = 35,584,148,904.63
  5. Step 5: Solve for x
    x = 35,584,148,904.63/281,318.94
  6. Step 6: Final answer
    x = 126,490.41

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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.