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Finding the Fourth Proportional to 311,010.40, 465,932.40 and 290,015.20

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Solution

The fourth proportional to 311,010.40, 465,932.40 and 290,015.20 is: 434,478.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,010.40 : 465,932.40 = 290,015.20 : x
  2. Step 2: Convert to fraction form
    311,010.40/465,932.40 = 290,015.20/x
  3. Step 3: Cross multiply
    311,010.40x = 465,932.40 × 290,015.20
  4. Step 4: Simplify right side
    311,010.40x = 135,127,478,172.48
  5. Step 5: Solve for x
    x = 135,127,478,172.48/311,010.40
  6. Step 6: Final answer
    x = 434,478.97

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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.