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Finding the Fourth Proportional to 205,989.60, 309,214.80 and 192,453.60

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Solution

The fourth proportional to 205,989.60, 309,214.80 and 192,453.60 is: 288,895.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,989.60 : 309,214.80 = 192,453.60 : x
  2. Step 2: Convert to fraction form
    205,989.60/309,214.80 = 192,453.60/x
  3. Step 3: Cross multiply
    205,989.60x = 309,214.80 × 192,453.60
  4. Step 4: Simplify right side
    205,989.60x = 59,509,501,433.28
  5. Step 5: Solve for x
    x = 59,509,501,433.28/205,989.60
  6. Step 6: Final answer
    x = 288,895.66

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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.