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Finding the Fourth Proportional to 399,158.82, 599,042.79 and 146,678.58

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Solution

The fourth proportional to 399,158.82, 599,042.79 and 146,678.58 is: 220,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,158.82 : 599,042.79 = 146,678.58 : x
  2. Step 2: Convert to fraction form
    399,158.82/599,042.79 = 146,678.58/x
  3. Step 3: Cross multiply
    399,158.82x = 599,042.79 × 146,678.58
  4. Step 4: Simplify right side
    399,158.82x = 87,866,745,796.44
  5. Step 5: Solve for x
    x = 87,866,745,796.44/399,158.82
  6. Step 6: Final answer
    x = 220,129.79

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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.