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Finding the Fourth Proportional to 781,334, 1,078,240.92 and 423,638

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Solution

The fourth proportional to 781,334, 1,078,240.92 and 423,638 is: 584,620.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,334 : 1,078,240.92 = 423,638 : x
  2. Step 2: Convert to fraction form
    781,334/1,078,240.92 = 423,638/x
  3. Step 3: Cross multiply
    781,334x = 1,078,240.92 × 423,638
  4. Step 4: Simplify right side
    781,334x = 456,783,826,866.96
  5. Step 5: Solve for x
    x = 456,783,826,866.96/781,334
  6. Step 6: Final answer
    x = 584,620.44

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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.