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Finding the Fourth Proportional to 307,424, 424,245.12 and 173,288

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Solution

The fourth proportional to 307,424, 424,245.12 and 173,288 is: 239,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,424 : 424,245.12 = 173,288 : x
  2. Step 2: Convert to fraction form
    307,424/424,245.12 = 173,288/x
  3. Step 3: Cross multiply
    307,424x = 424,245.12 × 173,288
  4. Step 4: Simplify right side
    307,424x = 73,516,588,354.56
  5. Step 5: Solve for x
    x = 73,516,588,354.56/307,424
  6. Step 6: Final answer
    x = 239,137.44

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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.