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Finding the Fourth Proportional to 310,511.10, 465,723.45 and 100,170.30

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Solution

The fourth proportional to 310,511.10, 465,723.45 and 100,170.30 is: 150,241.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,511.10 : 465,723.45 = 100,170.30 : x
  2. Step 2: Convert to fraction form
    310,511.10/465,723.45 = 100,170.30/x
  3. Step 3: Cross multiply
    310,511.10x = 465,723.45 × 100,170.30
  4. Step 4: Simplify right side
    310,511.10x = 46,651,657,703.54
  5. Step 5: Solve for x
    x = 46,651,657,703.54/310,511.10
  6. Step 6: Final answer
    x = 150,241.51

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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.