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Finding the Fourth Proportional to 289,647.92, 433,906.24 and 137,628.68

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Solution

The fourth proportional to 289,647.92, 433,906.24 and 137,628.68 is: 206,174.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,647.92 : 433,906.24 = 137,628.68 : x
  2. Step 2: Convert to fraction form
    289,647.92/433,906.24 = 137,628.68/x
  3. Step 3: Cross multiply
    289,647.92x = 433,906.24 × 137,628.68
  4. Step 4: Simplify right side
    289,647.92x = 59,717,943,054.96
  5. Step 5: Solve for x
    x = 59,717,943,054.96/289,647.92
  6. Step 6: Final answer
    x = 206,174.25

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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.