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Finding the Fourth Proportional to 385,892.78, 532,362.40 and 232,845.60

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Solution

The fourth proportional to 385,892.78, 532,362.40 and 232,845.60 is: 321,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,892.78 : 532,362.40 = 232,845.60 : x
  2. Step 2: Convert to fraction form
    385,892.78/532,362.40 = 232,845.60/x
  3. Step 3: Cross multiply
    385,892.78x = 532,362.40 × 232,845.60
  4. Step 4: Simplify right side
    385,892.78x = 123,958,243,859.69
  5. Step 5: Solve for x
    x = 123,958,243,859.69/385,892.78
  6. Step 6: Final answer
    x = 321,224.58

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