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Finding the Fourth Proportional to 339,808.34, 509,394.17 and 115,011.47

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Solution

The fourth proportional to 339,808.34, 509,394.17 and 115,011.47 is: 172,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,808.34 : 509,394.17 = 115,011.47 : x
  2. Step 2: Convert to fraction form
    339,808.34/509,394.17 = 115,011.47/x
  3. Step 3: Cross multiply
    339,808.34x = 509,394.17 × 115,011.47
  4. Step 4: Simplify right side
    339,808.34x = 58,586,169,179.10
  5. Step 5: Solve for x
    x = 58,586,169,179.10/339,808.34
  6. Step 6: Final answer
    x = 172,409.45

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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.