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Finding the Fourth Proportional to 399,857.64, 599,269.79 and 299,228.31

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Solution

The fourth proportional to 399,857.64, 599,269.79 and 299,228.31 is: 448,455.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,857.64 : 599,269.79 = 299,228.31 : x
  2. Step 2: Convert to fraction form
    399,857.64/599,269.79 = 299,228.31/x
  3. Step 3: Cross multiply
    399,857.64x = 599,269.79 × 299,228.31
  4. Step 4: Simplify right side
    399,857.64x = 179,318,484,999.61
  5. Step 5: Solve for x
    x = 179,318,484,999.61/399,857.64
  6. Step 6: Final answer
    x = 448,455.82

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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.