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Finding the Fourth Proportional to 386,584.30, 579,737.40 and 133,796.13

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Solution

The fourth proportional to 386,584.30, 579,737.40 and 133,796.13 is: 200,646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,584.30 : 579,737.40 = 133,796.13 : x
  2. Step 2: Convert to fraction form
    386,584.30/579,737.40 = 133,796.13/x
  3. Step 3: Cross multiply
    386,584.30x = 579,737.40 × 133,796.13
  4. Step 4: Simplify right side
    386,584.30x = 77,566,620,536.26
  5. Step 5: Solve for x
    x = 77,566,620,536.26/386,584.30
  6. Step 6: Final answer
    x = 200,646.07

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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.