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Finding the Fourth Proportional to 515,940.74, 711,959.16 and 289,542.50

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Solution

The fourth proportional to 515,940.74, 711,959.16 and 289,542.50 is: 399,546.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,940.74 : 711,959.16 = 289,542.50 : x
  2. Step 2: Convert to fraction form
    515,940.74/711,959.16 = 289,542.50/x
  3. Step 3: Cross multiply
    515,940.74x = 711,959.16 × 289,542.50
  4. Step 4: Simplify right side
    515,940.74x = 206,142,435,084.30
  5. Step 5: Solve for x
    x = 206,142,435,084.30/515,940.74
  6. Step 6: Final answer
    x = 399,546.73

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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.