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Finding the Fourth Proportional to 290,029.50, 434,994.09 and 76,800.48

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Solution

The fourth proportional to 290,029.50, 434,994.09 and 76,800.48 is: 115,187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,029.50 : 434,994.09 = 76,800.48 : x
  2. Step 2: Convert to fraction form
    290,029.50/434,994.09 = 76,800.48/x
  3. Step 3: Cross multiply
    290,029.50x = 434,994.09 × 76,800.48
  4. Step 4: Simplify right side
    290,029.50x = 33,407,754,909.16
  5. Step 5: Solve for x
    x = 33,407,754,909.16/290,029.50
  6. Step 6: Final answer
    x = 115,187.44

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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.