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Finding the Fourth Proportional to 297,697.76, 410,821.20 and 161,730.60

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Solution

The fourth proportional to 297,697.76, 410,821.20 and 161,730.60 is: 223,187.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,697.76 : 410,821.20 = 161,730.60 : x
  2. Step 2: Convert to fraction form
    297,697.76/410,821.20 = 161,730.60/x
  3. Step 3: Cross multiply
    297,697.76x = 410,821.20 × 161,730.60
  4. Step 4: Simplify right side
    297,697.76x = 66,442,359,168.72
  5. Step 5: Solve for x
    x = 66,442,359,168.72/297,697.76
  6. Step 6: Final answer
    x = 223,187.30

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1.5x scale

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.