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Finding the Fourth Proportional to 307,114.78, 423,818.81 and 171,145.75

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Solution

The fourth proportional to 307,114.78, 423,818.81 and 171,145.75 is: 236,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,114.78 : 423,818.81 = 171,145.75 : x
  2. Step 2: Convert to fraction form
    307,114.78/423,818.81 = 171,145.75/x
  3. Step 3: Cross multiply
    307,114.78x = 423,818.81 × 171,145.75
  4. Step 4: Simplify right side
    307,114.78x = 72,534,788,101.56
  5. Step 5: Solve for x
    x = 72,534,788,101.56/307,114.78
  6. Step 6: Final answer
    x = 236,181.37

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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.