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Finding the Fourth Proportional to 656,258.79, 984,409.38 and 206,983.92

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Solution

The fourth proportional to 656,258.79, 984,409.38 and 206,983.92 is: 310,482.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,258.79 : 984,409.38 = 206,983.92 : x
  2. Step 2: Convert to fraction form
    656,258.79/984,409.38 = 206,983.92/x
  3. Step 3: Cross multiply
    656,258.79x = 984,409.38 × 206,983.92
  4. Step 4: Simplify right side
    656,258.79x = 203,756,912,357.17
  5. Step 5: Solve for x
    x = 203,756,912,357.17/656,258.79
  6. Step 6: Final answer
    x = 310,482.56

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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.