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Finding the Fourth Proportional to 478,162.44, 716,910.75 and 211,778.55

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Solution

The fourth proportional to 478,162.44, 716,910.75 and 211,778.55 is: 317,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,162.44 : 716,910.75 = 211,778.55 : x
  2. Step 2: Convert to fraction form
    478,162.44/716,910.75 = 211,778.55/x
  3. Step 3: Cross multiply
    478,162.44x = 716,910.75 × 211,778.55
  4. Step 4: Simplify right side
    478,162.44x = 151,826,319,114.41
  5. Step 5: Solve for x
    x = 151,826,319,114.41/478,162.44
  6. Step 6: Final answer
    x = 317,520.38

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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.