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Finding the Fourth Proportional to 378,447.58, 522,384.15 and 225,533.76

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Solution

The fourth proportional to 378,447.58, 522,384.15 and 225,533.76 is: 311,311.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,447.58 : 522,384.15 = 225,533.76 : x
  2. Step 2: Convert to fraction form
    378,447.58/522,384.15 = 225,533.76/x
  3. Step 3: Cross multiply
    378,447.58x = 522,384.15 × 225,533.76
  4. Step 4: Simplify right side
    378,447.58x = 117,815,261,513.90
  5. Step 5: Solve for x
    x = 117,815,261,513.90/378,447.58
  6. Step 6: Final answer
    x = 311,311.97

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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.