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Finding the Fourth Proportional to 399,651.90, 599,423.13 and 133,406.34

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Solution

The fourth proportional to 399,651.90, 599,423.13 and 133,406.34 is: 200,091.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,651.90 : 599,423.13 = 133,406.34 : x
  2. Step 2: Convert to fraction form
    399,651.90/599,423.13 = 133,406.34/x
  3. Step 3: Cross multiply
    399,651.90x = 599,423.13 × 133,406.34
  4. Step 4: Simplify right side
    399,651.90x = 79,966,845,884.64
  5. Step 5: Solve for x
    x = 79,966,845,884.64/399,651.90
  6. Step 6: Final answer
    x = 200,091.24

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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.