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Finding the Fourth Proportional to 339,484.48, 509,223.46 and 206,401.48

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Solution

The fourth proportional to 339,484.48, 509,223.46 and 206,401.48 is: 309,600.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,484.48 : 509,223.46 = 206,401.48 : x
  2. Step 2: Convert to fraction form
    339,484.48/509,223.46 = 206,401.48/x
  3. Step 3: Cross multiply
    339,484.48x = 509,223.46 × 206,401.48
  4. Step 4: Simplify right side
    339,484.48x = 105,104,475,794.72
  5. Step 5: Solve for x
    x = 105,104,475,794.72/339,484.48
  6. Step 6: Final answer
    x = 309,600.24

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1.5x scale

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.