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Finding the Fourth Proportional to 366,478.87, 505,706.62 and 205,299.74

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Solution

The fourth proportional to 366,478.87, 505,706.62 and 205,299.74 is: 283,294.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,478.87 : 505,706.62 = 205,299.74 : x
  2. Step 2: Convert to fraction form
    366,478.87/505,706.62 = 205,299.74/x
  3. Step 3: Cross multiply
    366,478.87x = 505,706.62 × 205,299.74
  4. Step 4: Simplify right side
    366,478.87x = 103,821,437,602.28
  5. Step 5: Solve for x
    x = 103,821,437,602.28/366,478.87
  6. Step 6: Final answer
    x = 283,294.47

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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.