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Finding the Fourth Proportional to 378,461.40, 522,253.08 and 217,203

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Solution

The fourth proportional to 378,461.40, 522,253.08 and 217,203 is: 299,726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,461.40 : 522,253.08 = 217,203 : x
  2. Step 2: Convert to fraction form
    378,461.40/522,253.08 = 217,203/x
  3. Step 3: Cross multiply
    378,461.40x = 522,253.08 × 217,203
  4. Step 4: Simplify right side
    378,461.40x = 113,434,935,735.24
  5. Step 5: Solve for x
    x = 113,434,935,735.24/378,461.40
  6. Step 6: Final answer
    x = 299,726.57

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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.