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Finding the Fourth Proportional to 311,009.40, 465,930.90 and 290,014.20

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Solution

The fourth proportional to 311,009.40, 465,930.90 and 290,014.20 is: 434,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,009.40 : 465,930.90 = 290,014.20 : x
  2. Step 2: Convert to fraction form
    311,009.40/465,930.90 = 290,014.20/x
  3. Step 3: Cross multiply
    311,009.40x = 465,930.90 × 290,014.20
  4. Step 4: Simplify right side
    311,009.40x = 135,126,577,218.78
  5. Step 5: Solve for x
    x = 135,126,577,218.78/311,009.40
  6. Step 6: Final answer
    x = 434,477.47

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1.5x scale

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.