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Finding the Fourth Proportional to 339,144.20, 508,946.70 and 189,384.20

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Solution

The fourth proportional to 339,144.20, 508,946.70 and 189,384.20 is: 284,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,144.20 : 508,946.70 = 189,384.20 : x
  2. Step 2: Convert to fraction form
    339,144.20/508,946.70 = 189,384.20/x
  3. Step 3: Cross multiply
    339,144.20x = 508,946.70 × 189,384.20
  4. Step 4: Simplify right side
    339,144.20x = 96,386,463,622.14
  5. Step 5: Solve for x
    x = 96,386,463,622.14/339,144.20
  6. Step 6: Final answer
    x = 284,204.96

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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.