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Finding the Fourth Proportional to 964,405.23, 1,443,770.03 and 643,761.78

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Solution

The fourth proportional to 964,405.23, 1,443,770.03 and 643,761.78 is: 963,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,405.23 : 1,443,770.03 = 643,761.78 : x
  2. Step 2: Convert to fraction form
    964,405.23/1,443,770.03 = 643,761.78/x
  3. Step 3: Cross multiply
    964,405.23x = 1,443,770.03 × 643,761.78
  4. Step 4: Simplify right side
    964,405.23x = 929,443,963,325.79
  5. Step 5: Solve for x
    x = 929,443,963,325.79/964,405.23
  6. Step 6: Final answer
    x = 963,748.37

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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.