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Finding the Fourth Proportional to 397,546.72, 548,598.64 and 216,258.88

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Solution

The fourth proportional to 397,546.72, 548,598.64 and 216,258.88 is: 298,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,546.72 : 548,598.64 = 216,258.88 : x
  2. Step 2: Convert to fraction form
    397,546.72/548,598.64 = 216,258.88/x
  3. Step 3: Cross multiply
    397,546.72x = 548,598.64 × 216,258.88
  4. Step 4: Simplify right side
    397,546.72x = 118,639,327,455.92
  5. Step 5: Solve for x
    x = 118,639,327,455.92/397,546.72
  6. Step 6: Final answer
    x = 298,428.64

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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.