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Finding the Fourth Proportional to 378,303.14, 522,051.19 and 206,222.69

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Solution

The fourth proportional to 378,303.14, 522,051.19 and 206,222.69 is: 284,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,303.14 : 522,051.19 = 206,222.69 : x
  2. Step 2: Convert to fraction form
    378,303.14/522,051.19 = 206,222.69/x
  3. Step 3: Cross multiply
    378,303.14x = 522,051.19 × 206,222.69
  4. Step 4: Simplify right side
    378,303.14x = 107,658,801,509.07
  5. Step 5: Solve for x
    x = 107,658,801,509.07/378,303.14
  6. Step 6: Final answer
    x = 284,583.42

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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.