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Finding the Fourth Proportional to 309,855.72, 427,559.76 and 173,884.44

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Solution

The fourth proportional to 309,855.72, 427,559.76 and 173,884.44 is: 239,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,855.72 : 427,559.76 = 173,884.44 : x
  2. Step 2: Convert to fraction form
    309,855.72/427,559.76 = 173,884.44/x
  3. Step 3: Cross multiply
    309,855.72x = 427,559.76 × 173,884.44
  4. Step 4: Simplify right side
    309,855.72x = 74,345,989,434.13
  5. Step 5: Solve for x
    x = 74,345,989,434.13/309,855.72
  6. Step 6: Final answer
    x = 239,937.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.