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Finding the Fourth Proportional to 465,307.13, 641,960.31 and 304,256.45

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Solution

The fourth proportional to 465,307.13, 641,960.31 and 304,256.45 is: 419,766.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,307.13 : 641,960.31 = 304,256.45 : x
  2. Step 2: Convert to fraction form
    465,307.13/641,960.31 = 304,256.45/x
  3. Step 3: Cross multiply
    465,307.13x = 641,960.31 × 304,256.45
  4. Step 4: Simplify right side
    465,307.13x = 195,320,564,961.50
  5. Step 5: Solve for x
    x = 195,320,564,961.50/465,307.13
  6. Step 6: Final answer
    x = 419,766.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.