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Finding the Fourth Proportional to 381,809.80, 572,714.70 and 213,848.20

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Solution

The fourth proportional to 381,809.80, 572,714.70 and 213,848.20 is: 320,772.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,809.80 : 572,714.70 = 213,848.20 : x
  2. Step 2: Convert to fraction form
    381,809.80/572,714.70 = 213,848.20/x
  3. Step 3: Cross multiply
    381,809.80x = 572,714.70 × 213,848.20
  4. Step 4: Simplify right side
    381,809.80x = 122,474,007,708.54
  5. Step 5: Solve for x
    x = 122,474,007,708.54/381,809.80
  6. Step 6: Final answer
    x = 320,772.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.