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Finding the Fourth Proportional to 285,361.77, 393,803.37 and 164,500.86

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Solution

The fourth proportional to 285,361.77, 393,803.37 and 164,500.86 is: 227,013.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,361.77 : 393,803.37 = 164,500.86 : x
  2. Step 2: Convert to fraction form
    285,361.77/393,803.37 = 164,500.86/x
  3. Step 3: Cross multiply
    285,361.77x = 393,803.37 × 164,500.86
  4. Step 4: Simplify right side
    285,361.77x = 64,780,993,035.90
  5. Step 5: Solve for x
    x = 64,780,993,035.90/285,361.77
  6. Step 6: Final answer
    x = 227,013.57

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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.