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Finding the Fourth Proportional to 397,796.28, 548,963.34 and 216,509.36

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Solution

The fourth proportional to 397,796.28, 548,963.34 and 216,509.36 is: 298,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,796.28 : 548,963.34 = 216,509.36 : x
  2. Step 2: Convert to fraction form
    397,796.28/548,963.34 = 216,509.36/x
  3. Step 3: Cross multiply
    397,796.28x = 548,963.34 × 216,509.36
  4. Step 4: Simplify right side
    397,796.28x = 118,855,701,406.86
  5. Step 5: Solve for x
    x = 118,855,701,406.86/397,796.28
  6. Step 6: Final answer
    x = 298,785.35

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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.