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Finding the Fourth Proportional to 664,515.80, 917,031.78 and 362,709.80

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Solution

The fourth proportional to 664,515.80, 917,031.78 and 362,709.80 is: 500,539.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,515.80 : 917,031.78 = 362,709.80 : x
  2. Step 2: Convert to fraction form
    664,515.80/917,031.78 = 362,709.80/x
  3. Step 3: Cross multiply
    664,515.80x = 917,031.78 × 362,709.80
  4. Step 4: Simplify right side
    664,515.80x = 332,616,413,517.44
  5. Step 5: Solve for x
    x = 332,616,413,517.44/664,515.80
  6. Step 6: Final answer
    x = 500,539.51

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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.