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Finding the Fourth Proportional to 378,521.30, 567,299.55 and 201,113.30

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Solution

The fourth proportional to 378,521.30, 567,299.55 and 201,113.30 is: 301,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,521.30 : 567,299.55 = 201,113.30 : x
  2. Step 2: Convert to fraction form
    378,521.30/567,299.55 = 201,113.30/x
  3. Step 3: Cross multiply
    378,521.30x = 567,299.55 × 201,113.30
  4. Step 4: Simplify right side
    378,521.30x = 114,091,484,589.02
  5. Step 5: Solve for x
    x = 114,091,484,589.02/378,521.30
  6. Step 6: Final answer
    x = 301,413.64

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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.