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Finding the Fourth Proportional to 399,490.21, 550,583.56 and 302,461.58

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Solution

The fourth proportional to 399,490.21, 550,583.56 and 302,461.58 is: 416,857.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,490.21 : 550,583.56 = 302,461.58 : x
  2. Step 2: Convert to fraction form
    399,490.21/550,583.56 = 302,461.58/x
  3. Step 3: Cross multiply
    399,490.21x = 550,583.56 × 302,461.58
  4. Step 4: Simplify right side
    399,490.21x = 166,530,375,234.16
  5. Step 5: Solve for x
    x = 166,530,375,234.16/399,490.21
  6. Step 6: Final answer
    x = 416,857.21

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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.