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Finding the Fourth Proportional to 262,365.48, 393,408.36 and 102,495.78

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Solution

The fourth proportional to 262,365.48, 393,408.36 and 102,495.78 is: 153,689.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,365.48 : 393,408.36 = 102,495.78 : x
  2. Step 2: Convert to fraction form
    262,365.48/393,408.36 = 102,495.78/x
  3. Step 3: Cross multiply
    262,365.48x = 393,408.36 × 102,495.78
  4. Step 4: Simplify right side
    262,365.48x = 40,322,696,716.72
  5. Step 5: Solve for x
    x = 40,322,696,716.72/262,365.48
  6. Step 6: Final answer
    x = 153,689.03

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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.