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Finding the Fourth Proportional to 487,772.80, 731,641.63 and 127,940.78

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Solution

The fourth proportional to 487,772.80, 731,641.63 and 127,940.78 is: 191,906.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,772.80 : 731,641.63 = 127,940.78 : x
  2. Step 2: Convert to fraction form
    487,772.80/731,641.63 = 127,940.78/x
  3. Step 3: Cross multiply
    487,772.80x = 731,641.63 × 127,940.78
  4. Step 4: Simplify right side
    487,772.80x = 93,606,802,571.81
  5. Step 5: Solve for x
    x = 93,606,802,571.81/487,772.80
  6. Step 6: Final answer
    x = 191,906.56

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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.