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Finding the Fourth Proportional to 663,998, 916,320.16 and 362,198.48

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Solution

The fourth proportional to 663,998, 916,320.16 and 362,198.48 is: 499,835.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,998 : 916,320.16 = 362,198.48 : x
  2. Step 2: Convert to fraction form
    663,998/916,320.16 = 362,198.48/x
  3. Step 3: Cross multiply
    663,998x = 916,320.16 × 362,198.48
  4. Step 4: Simplify right side
    663,998x = 331,889,769,145.36
  5. Step 5: Solve for x
    x = 331,889,769,145.36/663,998
  6. Step 6: Final answer
    x = 499,835.50

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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.