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Finding the Fourth Proportional to 274,530.60, 378,586.10 and 214,079.22

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Solution

The fourth proportional to 274,530.60, 378,586.10 and 214,079.22 is: 295,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,530.60 : 378,586.10 = 214,079.22 : x
  2. Step 2: Convert to fraction form
    274,530.60/378,586.10 = 214,079.22/x
  3. Step 3: Cross multiply
    274,530.60x = 378,586.10 × 214,079.22
  4. Step 4: Simplify right side
    274,530.60x = 81,047,417,526.04
  5. Step 5: Solve for x
    x = 81,047,417,526.04/274,530.60
  6. Step 6: Final answer
    x = 295,221.80

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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.