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Finding the Fourth Proportional to 262,886.88, 394,352.16 and 105,029.28

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Solution

The fourth proportional to 262,886.88, 394,352.16 and 105,029.28 is: 157,552.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,886.88 : 394,352.16 = 105,029.28 : x
  2. Step 2: Convert to fraction form
    262,886.88/394,352.16 = 105,029.28/x
  3. Step 3: Cross multiply
    262,886.88x = 394,352.16 × 105,029.28
  4. Step 4: Simplify right side
    262,886.88x = 41,418,523,431.24
  5. Step 5: Solve for x
    x = 41,418,523,431.24/262,886.88
  6. Step 6: Final answer
    x = 157,552.65

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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.