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Finding the Fourth Proportional to 565,719.96, 780,721.60 and 350,929.22

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Solution

The fourth proportional to 565,719.96, 780,721.60 and 350,929.22 is: 484,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,719.96 : 780,721.60 = 350,929.22 : x
  2. Step 2: Convert to fraction form
    565,719.96/780,721.60 = 350,929.22/x
  3. Step 3: Cross multiply
    565,719.96x = 780,721.60 × 350,929.22
  4. Step 4: Simplify right side
    565,719.96x = 273,978,022,125.15
  5. Step 5: Solve for x
    x = 273,978,022,125.15/565,719.96
  6. Step 6: Final answer
    x = 484,299.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.