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Finding the Fourth Proportional to 339,614.48, 509,294.54 and 99,678.98

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Solution

The fourth proportional to 339,614.48, 509,294.54 and 99,678.98 is: 149,481.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,614.48 : 509,294.54 = 99,678.98 : x
  2. Step 2: Convert to fraction form
    339,614.48/509,294.54 = 99,678.98/x
  3. Step 3: Cross multiply
    339,614.48x = 509,294.54 × 99,678.98
  4. Step 4: Simplify right side
    339,614.48x = 50,765,960,266.77
  5. Step 5: Solve for x
    x = 50,765,960,266.77/339,614.48
  6. Step 6: Final answer
    x = 149,481.14

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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.