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Finding the Fourth Proportional to 205,714.20, 308,571.30 and 170,722.20

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Solution

The fourth proportional to 205,714.20, 308,571.30 and 170,722.20 is: 256,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,714.20 : 308,571.30 = 170,722.20 : x
  2. Step 2: Convert to fraction form
    205,714.20/308,571.30 = 170,722.20/x
  3. Step 3: Cross multiply
    205,714.20x = 308,571.30 × 170,722.20
  4. Step 4: Simplify right side
    205,714.20x = 52,679,971,192.86
  5. Step 5: Solve for x
    x = 52,679,971,192.86/205,714.20
  6. Step 6: Final answer
    x = 256,083.30

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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.