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Finding the Fourth Proportional to 399,495.36, 599,245.32 and 133,255.08

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Solution

The fourth proportional to 399,495.36, 599,245.32 and 133,255.08 is: 199,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,495.36 : 599,245.32 = 133,255.08 : x
  2. Step 2: Convert to fraction form
    399,495.36/599,245.32 = 133,255.08/x
  3. Step 3: Cross multiply
    399,495.36x = 599,245.32 × 133,255.08
  4. Step 4: Simplify right side
    399,495.36x = 79,852,483,056.23
  5. Step 5: Solve for x
    x = 79,852,483,056.23/399,495.36
  6. Step 6: Final answer
    x = 199,883.38

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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.