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Finding the Fourth Proportional to 399,399.40, 598,927.65 and 146,596.78

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Solution

The fourth proportional to 399,399.40, 598,927.65 and 146,596.78 is: 219,832.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,399.40 : 598,927.65 = 146,596.78 : x
  2. Step 2: Convert to fraction form
    399,399.40/598,927.65 = 146,596.78/x
  3. Step 3: Cross multiply
    399,399.40x = 598,927.65 × 146,596.78
  4. Step 4: Simplify right side
    399,399.40x = 87,800,864,942.97
  5. Step 5: Solve for x
    x = 87,800,864,942.97/399,399.40
  6. Step 6: Final answer
    x = 219,832.24

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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.