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Finding the Fourth Proportional to 398,562.64, 550,000.20 and 217,270.60

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Solution

The fourth proportional to 398,562.64, 550,000.20 and 217,270.60 is: 299,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,562.64 : 550,000.20 = 217,270.60 : x
  2. Step 2: Convert to fraction form
    398,562.64/550,000.20 = 217,270.60/x
  3. Step 3: Cross multiply
    398,562.64x = 550,000.20 × 217,270.60
  4. Step 4: Simplify right side
    398,562.64x = 119,498,873,454.12
  5. Step 5: Solve for x
    x = 119,498,873,454.12/398,562.64
  6. Step 6: Final answer
    x = 299,824.57

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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.