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Finding the Fourth Proportional to 339,345.38, 508,242.90 and 161,977.25

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Solution

The fourth proportional to 339,345.38, 508,242.90 and 161,977.25 is: 242,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,345.38 : 508,242.90 = 161,977.25 : x
  2. Step 2: Convert to fraction form
    339,345.38/508,242.90 = 161,977.25/x
  3. Step 3: Cross multiply
    339,345.38x = 508,242.90 × 161,977.25
  4. Step 4: Simplify right side
    339,345.38x = 82,323,788,544.63
  5. Step 5: Solve for x
    x = 82,323,788,544.63/339,345.38
  6. Step 6: Final answer
    x = 242,595.87

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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.