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Finding the Fourth Proportional to 338,236.76, 465,704.52 and 287,143.64

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Solution

The fourth proportional to 338,236.76, 465,704.52 and 287,143.64 is: 395,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,236.76 : 465,704.52 = 287,143.64 : x
  2. Step 2: Convert to fraction form
    338,236.76/465,704.52 = 287,143.64/x
  3. Step 3: Cross multiply
    338,236.76x = 465,704.52 × 287,143.64
  4. Step 4: Simplify right side
    338,236.76x = 133,724,091,037.25
  5. Step 5: Solve for x
    x = 133,724,091,037.25/338,236.76
  6. Step 6: Final answer
    x = 395,356.47

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1.5x scale

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.