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Finding the Fourth Proportional to 863,307, 1,295,078.68 and 294,535.40

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Solution

The fourth proportional to 863,307, 1,295,078.68 and 294,535.40 is: 441,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    863,307 : 1,295,078.68 = 294,535.40 : x
  2. Step 2: Convert to fraction form
    863,307/1,295,078.68 = 294,535.40/x
  3. Step 3: Cross multiply
    863,307x = 1,295,078.68 × 294,535.40
  4. Step 4: Simplify right side
    863,307x = 381,446,517,045.27
  5. Step 5: Solve for x
    x = 381,446,517,045.27/863,307
  6. Step 6: Final answer
    x = 441,843.42

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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.