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Finding the Fourth Proportional to 642,909.30, 964,296.30 and 263,870.12

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Solution

The fourth proportional to 642,909.30, 964,296.30 and 263,870.12 is: 395,777.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,909.30 : 964,296.30 = 263,870.12 : x
  2. Step 2: Convert to fraction form
    642,909.30/964,296.30 = 263,870.12/x
  3. Step 3: Cross multiply
    642,909.30x = 964,296.30 × 263,870.12
  4. Step 4: Simplify right side
    642,909.30x = 254,448,980,396.56
  5. Step 5: Solve for x
    x = 254,448,980,396.56/642,909.30
  6. Step 6: Final answer
    x = 395,777.41

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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.