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Finding the Fourth Proportional to 218,643.60, 327,965.40 and 197,648.40

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Solution

The fourth proportional to 218,643.60, 327,965.40 and 197,648.40 is: 296,472.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,643.60 : 327,965.40 = 197,648.40 : x
  2. Step 2: Convert to fraction form
    218,643.60/327,965.40 = 197,648.40/x
  3. Step 3: Cross multiply
    218,643.60x = 327,965.40 × 197,648.40
  4. Step 4: Simplify right side
    218,643.60x = 64,821,836,565.36
  5. Step 5: Solve for x
    x = 64,821,836,565.36/218,643.60
  6. Step 6: Final answer
    x = 296,472.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.