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Finding the Fourth Proportional to 281,323.50, 421,985.34 and 84,331.50

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Solution

The fourth proportional to 281,323.50, 421,985.34 and 84,331.50 is: 126,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,323.50 : 421,985.34 = 84,331.50 : x
  2. Step 2: Convert to fraction form
    281,323.50/421,985.34 = 84,331.50/x
  3. Step 3: Cross multiply
    281,323.50x = 421,985.34 × 84,331.50
  4. Step 4: Simplify right side
    281,323.50x = 35,586,656,700.21
  5. Step 5: Solve for x
    x = 35,586,656,700.21/281,323.50
  6. Step 6: Final answer
    x = 126,497.28

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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.