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Finding the Fourth Proportional to 298,216.80, 411,471.60 and 217,688.22

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Solution

The fourth proportional to 298,216.80, 411,471.60 and 217,688.22 is: 300,360.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,216.80 : 411,471.60 = 217,688.22 : x
  2. Step 2: Convert to fraction form
    298,216.80/411,471.60 = 217,688.22/x
  3. Step 3: Cross multiply
    298,216.80x = 411,471.60 × 217,688.22
  4. Step 4: Simplify right side
    298,216.80x = 89,572,520,184.55
  5. Step 5: Solve for x
    x = 89,572,520,184.55/298,216.80
  6. Step 6: Final answer
    x = 300,360.41

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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.