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Finding the Fourth Proportional to 297,005, 444,391.50 and 208,431.32

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Solution

The fourth proportional to 297,005, 444,391.50 and 208,431.32 is: 311,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,005 : 444,391.50 = 208,431.32 : x
  2. Step 2: Convert to fraction form
    297,005/444,391.50 = 208,431.32/x
  3. Step 3: Cross multiply
    297,005x = 444,391.50 × 208,431.32
  4. Step 4: Simplify right side
    297,005x = 92,625,106,941.78
  5. Step 5: Solve for x
    x = 92,625,106,941.78/297,005
  6. Step 6: Final answer
    x = 311,863.80

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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.