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Finding the Fourth Proportional to 289,258.02, 398,765.22 and 212,641.92

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Solution

The fourth proportional to 289,258.02, 398,765.22 and 212,641.92 is: 293,143.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,258.02 : 398,765.22 = 212,641.92 : x
  2. Step 2: Convert to fraction form
    289,258.02/398,765.22 = 212,641.92/x
  3. Step 3: Cross multiply
    289,258.02x = 398,765.22 × 212,641.92
  4. Step 4: Simplify right side
    289,258.02x = 84,794,202,010.02
  5. Step 5: Solve for x
    x = 84,794,202,010.02/289,258.02
  6. Step 6: Final answer
    x = 293,143.82

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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.