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Finding the Fourth Proportional to 378,465.40, 522,258.60 and 217,207

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Solution

The fourth proportional to 378,465.40, 522,258.60 and 217,207 is: 299,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,465.40 : 522,258.60 = 217,207 : x
  2. Step 2: Convert to fraction form
    378,465.40/522,258.60 = 217,207/x
  3. Step 3: Cross multiply
    378,465.40x = 522,258.60 × 217,207
  4. Step 4: Simplify right side
    378,465.40x = 113,438,223,730.20
  5. Step 5: Solve for x
    x = 113,438,223,730.20/378,465.40
  6. Step 6: Final answer
    x = 299,732.09

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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.