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Finding the Fourth Proportional to 399,495.44, 599,011.32 and 189,131.60

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Solution

The fourth proportional to 399,495.44, 599,011.32 and 189,131.60 is: 283,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,495.44 : 599,011.32 = 189,131.60 : x
  2. Step 2: Convert to fraction form
    399,495.44/599,011.32 = 189,131.60/x
  3. Step 3: Cross multiply
    399,495.44x = 599,011.32 × 189,131.60
  4. Step 4: Simplify right side
    399,495.44x = 113,291,969,369.71
  5. Step 5: Solve for x
    x = 113,291,969,369.71/399,495.44
  6. Step 6: Final answer
    x = 283,587.64

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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.