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Finding the Fourth Proportional to 386,859.54, 580,293.11 and 116,989.82

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Solution

The fourth proportional to 386,859.54, 580,293.11 and 116,989.82 is: 175,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,859.54 : 580,293.11 = 116,989.82 : x
  2. Step 2: Convert to fraction form
    386,859.54/580,293.11 = 116,989.82/x
  3. Step 3: Cross multiply
    386,859.54x = 580,293.11 × 116,989.82
  4. Step 4: Simplify right side
    386,859.54x = 67,888,386,053.25
  5. Step 5: Solve for x
    x = 67,888,386,053.25/386,859.54
  6. Step 6: Final answer
    x = 175,485.88

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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.