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Finding the Fourth Proportional to 407,914.23, 611,808.12 and 208,382.07

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Solution

The fourth proportional to 407,914.23, 611,808.12 and 208,382.07 is: 312,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,914.23 : 611,808.12 = 208,382.07 : x
  2. Step 2: Convert to fraction form
    407,914.23/611,808.12 = 208,382.07/x
  3. Step 3: Cross multiply
    407,914.23x = 611,808.12 × 208,382.07
  4. Step 4: Simplify right side
    407,914.23x = 127,489,842,488.41
  5. Step 5: Solve for x
    x = 127,489,842,488.41/407,914.23
  6. Step 6: Final answer
    x = 312,540.81

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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.