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Finding the Fourth Proportional to 643,258.40, 964,081.20 and 327,840.80

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Solution

The fourth proportional to 643,258.40, 964,081.20 and 327,840.80 is: 491,350.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,258.40 : 964,081.20 = 327,840.80 : x
  2. Step 2: Convert to fraction form
    643,258.40/964,081.20 = 327,840.80/x
  3. Step 3: Cross multiply
    643,258.40x = 964,081.20 × 327,840.80
  4. Step 4: Simplify right side
    643,258.40x = 316,065,151,872.96
  5. Step 5: Solve for x
    x = 316,065,151,872.96/643,258.40
  6. Step 6: Final answer
    x = 491,350.21

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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.