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Finding the Fourth Proportional to 465,513.78, 642,436.54 and 350,589.72

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Solution

The fourth proportional to 465,513.78, 642,436.54 and 350,589.72 is: 483,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,513.78 : 642,436.54 = 350,589.72 : x
  2. Step 2: Convert to fraction form
    465,513.78/642,436.54 = 350,589.72/x
  3. Step 3: Cross multiply
    465,513.78x = 642,436.54 × 350,589.72
  4. Step 4: Simplify right side
    465,513.78x = 225,231,646,676.37
  5. Step 5: Solve for x
    x = 225,231,646,676.37/465,513.78
  6. Step 6: Final answer
    x = 483,834.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.