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Finding the Fourth Proportional to 863,322.76, 1,294,763.24 and 255,969.06

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Solution

The fourth proportional to 863,322.76, 1,294,763.24 and 255,969.06 is: 383,888.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,322.76 : 1,294,763.24 = 255,969.06 : x
  2. Step 2: Convert to fraction form
    863,322.76/1,294,763.24 = 255,969.06/x
  3. Step 3: Cross multiply
    863,322.76x = 1,294,763.24 × 255,969.06
  4. Step 4: Simplify right side
    863,322.76x = 331,419,332,062.34
  5. Step 5: Solve for x
    x = 331,419,332,062.34/863,322.76
  6. Step 6: Final answer
    x = 383,888.10

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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.