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Finding the Fourth Proportional to 268,546.58, 402,819.90 and 127,878.74

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Solution

The fourth proportional to 268,546.58, 402,819.90 and 127,878.74 is: 191,818.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,546.58 : 402,819.90 = 127,878.74 : x
  2. Step 2: Convert to fraction form
    268,546.58/402,819.90 = 127,878.74/x
  3. Step 3: Cross multiply
    268,546.58x = 402,819.90 × 127,878.74
  4. Step 4: Simplify right side
    268,546.58x = 51,512,101,258.93
  5. Step 5: Solve for x
    x = 51,512,101,258.93/268,546.58
  6. Step 6: Final answer
    x = 191,818.12

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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.