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Finding the Fourth Proportional to 378,912.80, 522,900.14 and 209,146.93

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Solution

The fourth proportional to 378,912.80, 522,900.14 and 209,146.93 is: 288,623.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,912.80 : 522,900.14 = 209,146.93 : x
  2. Step 2: Convert to fraction form
    378,912.80/522,900.14 = 209,146.93/x
  3. Step 3: Cross multiply
    378,912.80x = 522,900.14 × 209,146.93
  4. Step 4: Simplify right side
    378,912.80x = 109,362,958,977.57
  5. Step 5: Solve for x
    x = 109,362,958,977.57/378,912.80
  6. Step 6: Final answer
    x = 288,623.03

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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.