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Finding the Fourth Proportional to 399,833.21, 599,661.28 and 115,461.86

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Solution

The fourth proportional to 399,833.21, 599,661.28 and 115,461.86 is: 173,167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,833.21 : 599,661.28 = 115,461.86 : x
  2. Step 2: Convert to fraction form
    399,833.21/599,661.28 = 115,461.86/x
  3. Step 3: Cross multiply
    399,833.21x = 599,661.28 × 115,461.86
  4. Step 4: Simplify right side
    399,833.21x = 69,238,003,255.33
  5. Step 5: Solve for x
    x = 69,238,003,255.33/399,833.21
  6. Step 6: Final answer
    x = 173,167.21

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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.