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Finding the Fourth Proportional to 309,731.52, 427,427.52 and 171,908.96

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Solution

The fourth proportional to 309,731.52, 427,427.52 and 171,908.96 is: 237,233.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,731.52 : 427,427.52 = 171,908.96 : x
  2. Step 2: Convert to fraction form
    309,731.52/427,427.52 = 171,908.96/x
  3. Step 3: Cross multiply
    309,731.52x = 427,427.52 × 171,908.96
  4. Step 4: Simplify right side
    309,731.52x = 73,478,620,438.58
  5. Step 5: Solve for x
    x = 73,478,620,438.58/309,731.52
  6. Step 6: Final answer
    x = 237,233.27

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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.