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Finding the Fourth Proportional to 613,122.94, 919,822.80 and 186,696.89

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Solution

The fourth proportional to 613,122.94, 919,822.80 and 186,696.89 is: 280,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,122.94 : 919,822.80 = 186,696.89 : x
  2. Step 2: Convert to fraction form
    613,122.94/919,822.80 = 186,696.89/x
  3. Step 3: Cross multiply
    613,122.94x = 919,822.80 × 186,696.89
  4. Step 4: Simplify right side
    613,122.94x = 171,728,060,835.43
  5. Step 5: Solve for x
    x = 171,728,060,835.43/613,122.94
  6. Step 6: Final answer
    x = 280,087.48

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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.