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Finding the Fourth Proportional to 407,885.44, 611,711.52 and 208,081.12

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Solution

The fourth proportional to 407,885.44, 611,711.52 and 208,081.12 is: 312,062.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,885.44 : 611,711.52 = 208,081.12 : x
  2. Step 2: Convert to fraction form
    407,885.44/611,711.52 = 208,081.12/x
  3. Step 3: Cross multiply
    407,885.44x = 611,711.52 × 208,081.12
  4. Step 4: Simplify right side
    407,885.44x = 127,285,618,198.50
  5. Step 5: Solve for x
    x = 127,285,618,198.50/407,885.44
  6. Step 6: Final answer
    x = 312,062.18

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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.