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Finding the Fourth Proportional to 278,408.88, 384,005.78 and 255,512.51

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Solution

The fourth proportional to 278,408.88, 384,005.78 and 255,512.51 is: 352,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,408.88 : 384,005.78 = 255,512.51 : x
  2. Step 2: Convert to fraction form
    278,408.88/384,005.78 = 255,512.51/x
  3. Step 3: Cross multiply
    278,408.88x = 384,005.78 × 255,512.51
  4. Step 4: Simplify right side
    278,408.88x = 98,118,277,504.72
  5. Step 5: Solve for x
    x = 98,118,277,504.72/278,408.88
  6. Step 6: Final answer
    x = 352,425.10

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1.5x scale

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.