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Finding the Fourth Proportional to 218,714.14, 299,857.05 and 214,728.34

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Solution

The fourth proportional to 218,714.14, 299,857.05 and 214,728.34 is: 294,392.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,714.14 : 299,857.05 = 214,728.34 : x
  2. Step 2: Convert to fraction form
    218,714.14/299,857.05 = 214,728.34/x
  3. Step 3: Cross multiply
    218,714.14x = 299,857.05 × 214,728.34
  4. Step 4: Simplify right side
    218,714.14x = 64,387,806,583.80
  5. Step 5: Solve for x
    x = 64,387,806,583.80/218,714.14
  6. Step 6: Final answer
    x = 294,392.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.