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Finding the Fourth Proportional to 465,309.77, 642,094.09 and 261,350.15

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Solution

The fourth proportional to 465,309.77, 642,094.09 and 261,350.15 is: 360,644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,309.77 : 642,094.09 = 261,350.15 : x
  2. Step 2: Convert to fraction form
    465,309.77/642,094.09 = 261,350.15/x
  3. Step 3: Cross multiply
    465,309.77x = 642,094.09 × 261,350.15
  4. Step 4: Simplify right side
    465,309.77x = 167,811,382,871.77
  5. Step 5: Solve for x
    x = 167,811,382,871.77/465,309.77
  6. Step 6: Final answer
    x = 360,644.45

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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.