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Finding the Fourth Proportional to 809,038, 1,116,472.92 and 451,342

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Solution

The fourth proportional to 809,038, 1,116,472.92 and 451,342 is: 622,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,038 : 1,116,472.92 = 451,342 : x
  2. Step 2: Convert to fraction form
    809,038/1,116,472.92 = 451,342/x
  3. Step 3: Cross multiply
    809,038x = 1,116,472.92 × 451,342
  4. Step 4: Simplify right side
    809,038x = 503,911,120,658.64
  5. Step 5: Solve for x
    x = 503,911,120,658.64/809,038
  6. Step 6: Final answer
    x = 622,852.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.