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Finding the Fourth Proportional to 531,825.36, 733,932.84 and 290,112

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Solution

The fourth proportional to 531,825.36, 733,932.84 and 290,112 is: 400,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,825.36 : 733,932.84 = 290,112 : x
  2. Step 2: Convert to fraction form
    531,825.36/733,932.84 = 290,112/x
  3. Step 3: Cross multiply
    531,825.36x = 733,932.84 × 290,112
  4. Step 4: Simplify right side
    531,825.36x = 212,922,724,078.08
  5. Step 5: Solve for x
    x = 212,922,724,078.08/531,825.36
  6. Step 6: Final answer
    x = 400,362.11

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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.