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Finding the Fourth Proportional to 231,337.80, 347,784.30 and 197,123.40

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Solution

The fourth proportional to 231,337.80, 347,784.30 and 197,123.40 is: 296,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,337.80 : 347,784.30 = 197,123.40 : x
  2. Step 2: Convert to fraction form
    231,337.80/347,784.30 = 197,123.40/x
  3. Step 3: Cross multiply
    231,337.80x = 347,784.30 × 197,123.40
  4. Step 4: Simplify right side
    231,337.80x = 68,556,423,682.62
  5. Step 5: Solve for x
    x = 68,556,423,682.62/231,337.80
  6. Step 6: Final answer
    x = 296,347.69

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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.