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Finding the Fourth Proportional to 366,398.70, 505,629.87 and 205,254.90

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Solution

The fourth proportional to 366,398.70, 505,629.87 and 205,254.90 is: 283,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,398.70 : 505,629.87 = 205,254.90 : x
  2. Step 2: Convert to fraction form
    366,398.70/505,629.87 = 205,254.90/x
  3. Step 3: Cross multiply
    366,398.70x = 505,629.87 × 205,254.90
  4. Step 4: Simplify right side
    366,398.70x = 103,783,011,349.52
  5. Step 5: Solve for x
    x = 103,783,011,349.52/366,398.70
  6. Step 6: Final answer
    x = 283,251.58

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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.