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Finding the Fourth Proportional to 518,734.92, 778,102.30 and 400,578.60

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Solution

The fourth proportional to 518,734.92, 778,102.30 and 400,578.60 is: 600,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,734.92 : 778,102.30 = 400,578.60 : x
  2. Step 2: Convert to fraction form
    518,734.92/778,102.30 = 400,578.60/x
  3. Step 3: Cross multiply
    518,734.92x = 778,102.30 × 400,578.60
  4. Step 4: Simplify right side
    518,734.92x = 311,691,129,990.78
  5. Step 5: Solve for x
    x = 311,691,129,990.78/518,734.92
  6. Step 6: Final answer
    x = 600,867.84

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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.