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Finding the Fourth Proportional to 278,319.92, 417,137.72 and 128,352

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Solution

The fourth proportional to 278,319.92, 417,137.72 and 128,352 is: 192,370.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,319.92 : 417,137.72 = 128,352 : x
  2. Step 2: Convert to fraction form
    278,319.92/417,137.72 = 128,352/x
  3. Step 3: Cross multiply
    278,319.92x = 417,137.72 × 128,352
  4. Step 4: Simplify right side
    278,319.92x = 53,540,460,637.44
  5. Step 5: Solve for x
    x = 53,540,460,637.44/278,319.92
  6. Step 6: Final answer
    x = 192,370.21

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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.