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Finding the Fourth Proportional to 278,648.06, 384,652.02 and 188,126.64

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Solution

The fourth proportional to 278,648.06, 384,652.02 and 188,126.64 is: 259,694.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,648.06 : 384,652.02 = 188,126.64 : x
  2. Step 2: Convert to fraction form
    278,648.06/384,652.02 = 188,126.64/x
  3. Step 3: Cross multiply
    278,648.06x = 384,652.02 × 188,126.64
  4. Step 4: Simplify right side
    278,648.06x = 72,363,292,091.81
  5. Step 5: Solve for x
    x = 72,363,292,091.81/278,648.06
  6. Step 6: Final answer
    x = 259,694.23

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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.