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Finding the Fourth Proportional to 304,142.31, 419,693.94 and 168,178.05

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Solution

The fourth proportional to 304,142.31, 419,693.94 and 168,178.05 is: 232,073.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,142.31 : 419,693.94 = 168,178.05 : x
  2. Step 2: Convert to fraction form
    304,142.31/419,693.94 = 168,178.05/x
  3. Step 3: Cross multiply
    304,142.31x = 419,693.94 × 168,178.05
  4. Step 4: Simplify right side
    304,142.31x = 70,583,308,426.02
  5. Step 5: Solve for x
    x = 70,583,308,426.02/304,142.31
  6. Step 6: Final answer
    x = 232,073.30

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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.