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Finding the Fourth Proportional to 380,258.25, 570,948.09 and 212,107.11

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Solution

The fourth proportional to 380,258.25, 570,948.09 and 212,107.11 is: 318,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,258.25 : 570,948.09 = 212,107.11 : x
  2. Step 2: Convert to fraction form
    380,258.25/570,948.09 = 212,107.11/x
  3. Step 3: Cross multiply
    380,258.25x = 570,948.09 × 212,107.11
  4. Step 4: Simplify right side
    380,258.25x = 121,102,149,329.92
  5. Step 5: Solve for x
    x = 121,102,149,329.92/380,258.25
  6. Step 6: Final answer
    x = 318,473.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.