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Finding the Fourth Proportional to 521,399.77, 782,395.49 and 281,510.46

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Solution

The fourth proportional to 521,399.77, 782,395.49 and 281,510.46 is: 422,425.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,399.77 : 782,395.49 = 281,510.46 : x
  2. Step 2: Convert to fraction form
    521,399.77/782,395.49 = 281,510.46/x
  3. Step 3: Cross multiply
    521,399.77x = 782,395.49 × 281,510.46
  4. Step 4: Simplify right side
    521,399.77x = 220,252,514,291.83
  5. Step 5: Solve for x
    x = 220,252,514,291.83/521,399.77
  6. Step 6: Final answer
    x = 422,425.42

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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.