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Finding the Fourth Proportional to 398,825.64, 550,369.35 and 217,541.70

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Solution

The fourth proportional to 398,825.64, 550,369.35 and 217,541.70 is: 300,202.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,825.64 : 550,369.35 = 217,541.70 : x
  2. Step 2: Convert to fraction form
    398,825.64/550,369.35 = 217,541.70/x
  3. Step 3: Cross multiply
    398,825.64x = 550,369.35 × 217,541.70
  4. Step 4: Simplify right side
    398,825.64x = 119,728,284,026.90
  5. Step 5: Solve for x
    x = 119,728,284,026.90/398,825.64
  6. Step 6: Final answer
    x = 300,202.07

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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.