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Finding the Fourth Proportional to 289,655.47, 399,649.49 and 174,843.37

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Solution

The fourth proportional to 289,655.47, 399,649.49 and 174,843.37 is: 241,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,655.47 : 399,649.49 = 174,843.37 : x
  2. Step 2: Convert to fraction form
    289,655.47/399,649.49 = 174,843.37/x
  3. Step 3: Cross multiply
    289,655.47x = 399,649.49 × 174,843.37
  4. Step 4: Simplify right side
    289,655.47x = 69,876,061,652.13
  5. Step 5: Solve for x
    x = 69,876,061,652.13/289,655.47
  6. Step 6: Final answer
    x = 241,238.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.