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Finding the Fourth Proportional to 643,915.20, 965,872.80 and 288,940.80

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Solution

The fourth proportional to 643,915.20, 965,872.80 and 288,940.80 is: 433,411.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,915.20 : 965,872.80 = 288,940.80 : x
  2. Step 2: Convert to fraction form
    643,915.20/965,872.80 = 288,940.80/x
  3. Step 3: Cross multiply
    643,915.20x = 965,872.80 × 288,940.80
  4. Step 4: Simplify right side
    643,915.20x = 279,080,059,530.24
  5. Step 5: Solve for x
    x = 279,080,059,530.24/643,915.20
  6. Step 6: Final answer
    x = 433,411.20

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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.