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Finding the Fourth Proportional to 378,454.04, 522,270.48 and 208,694.24

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Solution

The fourth proportional to 378,454.04, 522,270.48 and 208,694.24 is: 288,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,454.04 : 522,270.48 = 208,694.24 : x
  2. Step 2: Convert to fraction form
    378,454.04/522,270.48 = 208,694.24/x
  3. Step 3: Cross multiply
    378,454.04x = 522,270.48 × 208,694.24
  4. Step 4: Simplify right side
    378,454.04x = 108,994,838,286.68
  5. Step 5: Solve for x
    x = 108,994,838,286.68/378,454.04
  6. Step 6: Final answer
    x = 288,000.20

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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.