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Finding the Fourth Proportional to 513,352.44, 769,969.80 and 134,309.77

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Solution

The fourth proportional to 513,352.44, 769,969.80 and 134,309.77 is: 201,449.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,352.44 : 769,969.80 = 134,309.77 : x
  2. Step 2: Convert to fraction form
    513,352.44/769,969.80 = 134,309.77/x
  3. Step 3: Cross multiply
    513,352.44x = 769,969.80 × 134,309.77
  4. Step 4: Simplify right side
    513,352.44x = 103,414,464,820.02
  5. Step 5: Solve for x
    x = 103,414,464,820.02/513,352.44
  6. Step 6: Final answer
    x = 201,449.25

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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.