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Finding the Fourth Proportional to 378,586.78, 522,477.75 and 217,448.62

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Solution

The fourth proportional to 378,586.78, 522,477.75 and 217,448.62 is: 300,095.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,586.78 : 522,477.75 = 217,448.62 : x
  2. Step 2: Convert to fraction form
    378,586.78/522,477.75 = 217,448.62/x
  3. Step 3: Cross multiply
    378,586.78x = 522,477.75 × 217,448.62
  4. Step 4: Simplify right side
    378,586.78x = 113,612,065,718.21
  5. Step 5: Solve for x
    x = 113,612,065,718.21/378,586.78
  6. Step 6: Final answer
    x = 300,095.17

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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.