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Finding the Fourth Proportional to 683,812.80, 1,025,908.80 and 284,641.60

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Solution

The fourth proportional to 683,812.80, 1,025,908.80 and 284,641.60 is: 427,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,812.80 : 1,025,908.80 = 284,641.60 : x
  2. Step 2: Convert to fraction form
    683,812.80/1,025,908.80 = 284,641.60/x
  3. Step 3: Cross multiply
    683,812.80x = 1,025,908.80 × 284,641.60
  4. Step 4: Simplify right side
    683,812.80x = 292,016,322,286.08
  5. Step 5: Solve for x
    x = 292,016,322,286.08/683,812.80
  6. Step 6: Final answer
    x = 427,041.32

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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.