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Finding the Fourth Proportional to 378,556.38, 522,406.80 and 217,421.87

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Solution

The fourth proportional to 378,556.38, 522,406.80 and 217,421.87 is: 300,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,556.38 : 522,406.80 = 217,421.87 : x
  2. Step 2: Convert to fraction form
    378,556.38/522,406.80 = 217,421.87/x
  3. Step 3: Cross multiply
    378,556.38x = 522,406.80 × 217,421.87
  4. Step 4: Simplify right side
    378,556.38x = 113,582,660,744.68
  5. Step 5: Solve for x
    x = 113,582,660,744.68/378,556.38
  6. Step 6: Final answer
    x = 300,041.60

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1.5x scale

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.