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Finding the Fourth Proportional to 643,029.76, 964,505.76 and 287,948.44

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Solution

The fourth proportional to 643,029.76, 964,505.76 and 287,948.44 is: 431,905.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,029.76 : 964,505.76 = 287,948.44 : x
  2. Step 2: Convert to fraction form
    643,029.76/964,505.76 = 287,948.44/x
  3. Step 3: Cross multiply
    643,029.76x = 964,505.76 × 287,948.44
  4. Step 4: Simplify right side
    643,029.76x = 277,727,928,963.01
  5. Step 5: Solve for x
    x = 277,727,928,963.01/643,029.76
  6. Step 6: Final answer
    x = 431,905.25

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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.