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Finding the Fourth Proportional to 480,198.24, 661,907.88 and 378,061.92

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Solution

The fourth proportional to 480,198.24, 661,907.88 and 378,061.92 is: 521,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,198.24 : 661,907.88 = 378,061.92 : x
  2. Step 2: Convert to fraction form
    480,198.24/661,907.88 = 378,061.92/x
  3. Step 3: Cross multiply
    480,198.24x = 661,907.88 × 378,061.92
  4. Step 4: Simplify right side
    480,198.24x = 250,242,163,975.93
  5. Step 5: Solve for x
    x = 250,242,163,975.93/480,198.24
  6. Step 6: Final answer
    x = 521,122.62

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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.