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Finding the Fourth Proportional to 339,404.20, 509,106.30 and 313,743.40

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Solution

The fourth proportional to 339,404.20, 509,106.30 and 313,743.40 is: 470,615.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,404.20 : 509,106.30 = 313,743.40 : x
  2. Step 2: Convert to fraction form
    339,404.20/509,106.30 = 313,743.40/x
  3. Step 3: Cross multiply
    339,404.20x = 509,106.30 × 313,743.40
  4. Step 4: Simplify right side
    339,404.20x = 159,728,741,523.42
  5. Step 5: Solve for x
    x = 159,728,741,523.42/339,404.20
  6. Step 6: Final answer
    x = 470,615.10

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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.