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Finding the Fourth Proportional to 512,394.69, 769,060.80 and 259,849.50

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Solution

The fourth proportional to 512,394.69, 769,060.80 and 259,849.50 is: 390,011.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,394.69 : 769,060.80 = 259,849.50 : x
  2. Step 2: Convert to fraction form
    512,394.69/769,060.80 = 259,849.50/x
  3. Step 3: Cross multiply
    512,394.69x = 769,060.80 × 259,849.50
  4. Step 4: Simplify right side
    512,394.69x = 199,840,064,349.60
  5. Step 5: Solve for x
    x = 199,840,064,349.60/512,394.69
  6. Step 6: Final answer
    x = 390,011.97

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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.