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Finding the Fourth Proportional to 378,576.66, 522,434.76 and 217,442.10

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Solution

The fourth proportional to 378,576.66, 522,434.76 and 217,442.10 is: 300,069.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,576.66 : 522,434.76 = 217,442.10 : x
  2. Step 2: Convert to fraction form
    378,576.66/522,434.76 = 217,442.10/x
  3. Step 3: Cross multiply
    378,576.66x = 522,434.76 × 217,442.10
  4. Step 4: Simplify right side
    378,576.66x = 113,599,311,327.40
  5. Step 5: Solve for x
    x = 113,599,311,327.40/378,576.66
  6. Step 6: Final answer
    x = 300,069.51

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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.