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Finding the Fourth Proportional to 299,131.86, 448,600.69 and 99,398.64

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Solution

The fourth proportional to 299,131.86, 448,600.69 and 99,398.64 is: 149,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,131.86 : 448,600.69 = 99,398.64 : x
  2. Step 2: Convert to fraction form
    299,131.86/448,600.69 = 99,398.64/x
  3. Step 3: Cross multiply
    299,131.86x = 448,600.69 × 99,398.64
  4. Step 4: Simplify right side
    299,131.86x = 44,590,298,489.06
  5. Step 5: Solve for x
    x = 44,590,298,489.06/299,131.86
  6. Step 6: Final answer
    x = 149,065.69

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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.