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Finding the Fourth Proportional to 407,539.40, 611,336.10 and 108,015.80

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Solution

The fourth proportional to 407,539.40, 611,336.10 and 108,015.80 is: 162,030.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,539.40 : 611,336.10 = 108,015.80 : x
  2. Step 2: Convert to fraction form
    407,539.40/611,336.10 = 108,015.80/x
  3. Step 3: Cross multiply
    407,539.40x = 611,336.10 × 108,015.80
  4. Step 4: Simplify right side
    407,539.40x = 66,033,957,910.38
  5. Step 5: Solve for x
    x = 66,033,957,910.38/407,539.40
  6. Step 6: Final answer
    x = 162,030.86

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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.