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Finding the Fourth Proportional to 438,967.37, 657,942.77 and 201,812.33

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Solution

The fourth proportional to 438,967.37, 657,942.77 and 201,812.33 is: 302,484.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,967.37 : 657,942.77 = 201,812.33 : x
  2. Step 2: Convert to fraction form
    438,967.37/657,942.77 = 201,812.33/x
  3. Step 3: Cross multiply
    438,967.37x = 657,942.77 × 201,812.33
  4. Step 4: Simplify right side
    438,967.37x = 132,780,959,121.58
  5. Step 5: Solve for x
    x = 132,780,959,121.58/438,967.37
  6. Step 6: Final answer
    x = 302,484.81

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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.