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Finding the Fourth Proportional to 378,896.20, 522,874.23 and 209,130.32

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Solution

The fourth proportional to 378,896.20, 522,874.23 and 209,130.32 is: 288,598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,896.20 : 522,874.23 = 209,130.32 : x
  2. Step 2: Convert to fraction form
    378,896.20/522,874.23 = 209,130.32/x
  3. Step 3: Cross multiply
    378,896.20x = 522,874.23 × 209,130.32
  4. Step 4: Simplify right side
    378,896.20x = 109,348,855,039.65
  5. Step 5: Solve for x
    x = 109,348,855,039.65/378,896.20
  6. Step 6: Final answer
    x = 288,598.45

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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.