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Finding the Fourth Proportional to 649,147, 972,872.22 and 469,836.28

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Solution

The fourth proportional to 649,147, 972,872.22 and 469,836.28 is: 704,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,147 : 972,872.22 = 469,836.28 : x
  2. Step 2: Convert to fraction form
    649,147/972,872.22 = 469,836.28/x
  3. Step 3: Cross multiply
    649,147x = 972,872.22 × 469,836.28
  4. Step 4: Simplify right side
    649,147x = 457,090,664,760.14
  5. Step 5: Solve for x
    x = 457,090,664,760.14/649,147
  6. Step 6: Final answer
    x = 704,140.46

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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.