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Finding the Fourth Proportional to 339,940.40, 510,130.92 and 313,968.56

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Solution

The fourth proportional to 339,940.40, 510,130.92 and 313,968.56 is: 471,156.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,940.40 : 510,130.92 = 313,968.56 : x
  2. Step 2: Convert to fraction form
    339,940.40/510,130.92 = 313,968.56/x
  3. Step 3: Cross multiply
    339,940.40x = 510,130.92 × 313,968.56
  4. Step 4: Simplify right side
    339,940.40x = 160,165,070,363.88
  5. Step 5: Solve for x
    x = 160,165,070,363.88/339,940.40
  6. Step 6: Final answer
    x = 471,156.33

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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.