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Finding the Fourth Proportional to 643,904.80, 965,079.60 and 328,199.20

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Solution

The fourth proportional to 643,904.80, 965,079.60 and 328,199.20 is: 491,902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,904.80 : 965,079.60 = 328,199.20 : x
  2. Step 2: Convert to fraction form
    643,904.80/965,079.60 = 328,199.20/x
  3. Step 3: Cross multiply
    643,904.80x = 965,079.60 × 328,199.20
  4. Step 4: Simplify right side
    643,904.80x = 316,738,352,656.32
  5. Step 5: Solve for x
    x = 316,738,352,656.32/643,904.80
  6. Step 6: Final answer
    x = 491,902.46

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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.