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Finding the Fourth Proportional to 656,403.81, 984,211.98 and 256,568.25

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Solution

The fourth proportional to 656,403.81, 984,211.98 and 256,568.25 is: 384,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,403.81 : 984,211.98 = 256,568.25 : x
  2. Step 2: Convert to fraction form
    656,403.81/984,211.98 = 256,568.25/x
  3. Step 3: Cross multiply
    656,403.81x = 984,211.98 × 256,568.25
  4. Step 4: Simplify right side
    656,403.81x = 252,517,545,337.64
  5. Step 5: Solve for x
    x = 252,517,545,337.64/656,403.81
  6. Step 6: Final answer
    x = 384,698.48

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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.