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Finding the Fourth Proportional to 642,907.31, 964,293.30 and 263,868.12

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Solution

The fourth proportional to 642,907.31, 964,293.30 and 263,868.12 is: 395,774.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,907.31 : 964,293.30 = 263,868.12 : x
  2. Step 2: Convert to fraction form
    642,907.31/964,293.30 = 263,868.12/x
  3. Step 3: Cross multiply
    642,907.31x = 964,293.30 × 263,868.12
  4. Step 4: Simplify right side
    642,907.31x = 254,446,260,199.60
  5. Step 5: Solve for x
    x = 254,446,260,199.60/642,907.31
  6. Step 6: Final answer
    x = 395,774.41

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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.