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Finding the Fourth Proportional to 393,745.60, 543,180 and 257,719.68

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Solution

The fourth proportional to 393,745.60, 543,180 and 257,719.68 is: 355,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,745.60 : 543,180 = 257,719.68 : x
  2. Step 2: Convert to fraction form
    393,745.60/543,180 = 257,719.68/x
  3. Step 3: Cross multiply
    393,745.60x = 543,180 × 257,719.68
  4. Step 4: Simplify right side
    393,745.60x = 139,988,175,782.40
  5. Step 5: Solve for x
    x = 139,988,175,782.40/393,745.60
  6. Step 6: Final answer
    x = 355,529.50

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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.