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Finding the Fourth Proportional to 366,269.40, 505,427.72 and 205,087.50

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Solution

The fourth proportional to 366,269.40, 505,427.72 and 205,087.50 is: 283,007.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,269.40 : 505,427.72 = 205,087.50 : x
  2. Step 2: Convert to fraction form
    366,269.40/505,427.72 = 205,087.50/x
  3. Step 3: Cross multiply
    366,269.40x = 505,427.72 × 205,087.50
  4. Step 4: Simplify right side
    366,269.40x = 103,656,906,500.06
  5. Step 5: Solve for x
    x = 103,656,906,500.06/366,269.40
  6. Step 6: Final answer
    x = 283,007.28

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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.