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Finding the Fourth Proportional to 433,405.64, 649,681.92 and 253,262.44

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Solution

The fourth proportional to 433,405.64, 649,681.92 and 253,262.44 is: 379,644.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,405.64 : 649,681.92 = 253,262.44 : x
  2. Step 2: Convert to fraction form
    433,405.64/649,681.92 = 253,262.44/x
  3. Step 3: Cross multiply
    433,405.64x = 649,681.92 × 253,262.44
  4. Step 4: Simplify right side
    433,405.64x = 164,540,028,283.09
  5. Step 5: Solve for x
    x = 164,540,028,283.09/433,405.64
  6. Step 6: Final answer
    x = 379,644.41

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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.