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Finding the Fourth Proportional to 378,118.67, 521,796.98 and 206,038.13

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Solution

The fourth proportional to 378,118.67, 521,796.98 and 206,038.13 is: 284,328.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,118.67 : 521,796.98 = 206,038.13 : x
  2. Step 2: Convert to fraction form
    378,118.67/521,796.98 = 206,038.13/x
  3. Step 3: Cross multiply
    378,118.67x = 521,796.98 × 206,038.13
  4. Step 4: Simplify right side
    378,118.67x = 107,510,071,904.96
  5. Step 5: Solve for x
    x = 107,510,071,904.96/378,118.67
  6. Step 6: Final answer
    x = 284,328.92

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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.