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Finding the Fourth Proportional to 399,927.46, 599,770.02 and 210,285.64

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Solution

The fourth proportional to 399,927.46, 599,770.02 and 210,285.64 is: 315,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,927.46 : 599,770.02 = 210,285.64 : x
  2. Step 2: Convert to fraction form
    399,927.46/599,770.02 = 210,285.64/x
  3. Step 3: Cross multiply
    399,927.46x = 599,770.02 × 210,285.64
  4. Step 4: Simplify right side
    399,927.46x = 126,123,022,508.51
  5. Step 5: Solve for x
    x = 126,123,022,508.51/399,927.46
  6. Step 6: Final answer
    x = 315,364.75

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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.