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Finding the Fourth Proportional to 378,894.20, 522,871.47 and 209,128.32

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Solution

The fourth proportional to 378,894.20, 522,871.47 and 209,128.32 is: 288,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,894.20 : 522,871.47 = 209,128.32 : x
  2. Step 2: Convert to fraction form
    378,894.20/522,871.47 = 209,128.32/x
  3. Step 3: Cross multiply
    378,894.20x = 522,871.47 × 209,128.32
  4. Step 4: Simplify right side
    378,894.20x = 109,347,232,097.03
  5. Step 5: Solve for x
    x = 109,347,232,097.03/378,894.20
  6. Step 6: Final answer
    x = 288,595.69

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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.