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Finding the Fourth Proportional to 378,761.28, 523,442.88 and 310,672.32

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Solution

The fourth proportional to 378,761.28, 523,442.88 and 310,672.32 is: 429,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,761.28 : 523,442.88 = 310,672.32 : x
  2. Step 2: Convert to fraction form
    378,761.28/523,442.88 = 310,672.32/x
  3. Step 3: Cross multiply
    378,761.28x = 523,442.88 × 310,672.32
  4. Step 4: Simplify right side
    378,761.28x = 162,619,213,917.08
  5. Step 5: Solve for x
    x = 162,619,213,917.08/378,761.28
  6. Step 6: Final answer
    x = 429,344.87

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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.