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Finding the Fourth Proportional to 778,692, 1,074,595.20 and 420,996

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Solution

The fourth proportional to 778,692, 1,074,595.20 and 420,996 is: 580,974.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,692 : 1,074,595.20 = 420,996 : x
  2. Step 2: Convert to fraction form
    778,692/1,074,595.20 = 420,996/x
  3. Step 3: Cross multiply
    778,692x = 1,074,595.20 × 420,996
  4. Step 4: Simplify right side
    778,692x = 452,400,280,819.20
  5. Step 5: Solve for x
    x = 452,400,280,819.20/778,692
  6. Step 6: Final answer
    x = 580,974.61

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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.