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Finding the Fourth Proportional to 343,691.90, 515,999.55 and 201,682.70

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Solution

The fourth proportional to 343,691.90, 515,999.55 and 201,682.70 is: 302,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,691.90 : 515,999.55 = 201,682.70 : x
  2. Step 2: Convert to fraction form
    343,691.90/515,999.55 = 201,682.70/x
  3. Step 3: Cross multiply
    343,691.90x = 515,999.55 × 201,682.70
  4. Step 4: Simplify right side
    343,691.90x = 104,068,182,442.79
  5. Step 5: Solve for x
    x = 104,068,182,442.79/343,691.90
  6. Step 6: Final answer
    x = 302,794.98

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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.