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Finding the Fourth Proportional to 513,035.64, 769,356.36 and 213,657.48

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Solution

The fourth proportional to 513,035.64, 769,356.36 and 213,657.48 is: 320,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,035.64 : 769,356.36 = 213,657.48 : x
  2. Step 2: Convert to fraction form
    513,035.64/769,356.36 = 213,657.48/x
  3. Step 3: Cross multiply
    513,035.64x = 769,356.36 × 213,657.48
  4. Step 4: Simplify right side
    513,035.64x = 164,378,741,099.57
  5. Step 5: Solve for x
    x = 164,378,741,099.57/513,035.64
  6. Step 6: Final answer
    x = 320,404.14

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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.