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Finding the Fourth Proportional to 283,258.97, 390,054.30 and 276,972.56

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Solution

The fourth proportional to 283,258.97, 390,054.30 and 276,972.56 is: 381,397.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,258.97 : 390,054.30 = 276,972.56 : x
  2. Step 2: Convert to fraction form
    283,258.97/390,054.30 = 276,972.56/x
  3. Step 3: Cross multiply
    283,258.97x = 390,054.30 × 276,972.56
  4. Step 4: Simplify right side
    283,258.97x = 108,034,336,059.74
  5. Step 5: Solve for x
    x = 108,034,336,059.74/283,258.97
  6. Step 6: Final answer
    x = 381,397.76

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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.