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Finding the Fourth Proportional to 304,346.31, 420,132.42 and 181,881.90

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Solution

The fourth proportional to 304,346.31, 420,132.42 and 181,881.90 is: 251,077.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,346.31 : 420,132.42 = 181,881.90 : x
  2. Step 2: Convert to fraction form
    304,346.31/420,132.42 = 181,881.90/x
  3. Step 3: Cross multiply
    304,346.31x = 420,132.42 × 181,881.90
  4. Step 4: Simplify right side
    304,346.31x = 76,414,482,801.20
  5. Step 5: Solve for x
    x = 76,414,482,801.20/304,346.31
  6. Step 6: Final answer
    x = 251,077.41

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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.