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Finding the Fourth Proportional to 311,764.56, 430,239.24 and 184,436.88

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Solution

The fourth proportional to 311,764.56, 430,239.24 and 184,436.88 is: 254,525.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,764.56 : 430,239.24 = 184,436.88 : x
  2. Step 2: Convert to fraction form
    311,764.56/430,239.24 = 184,436.88/x
  3. Step 3: Cross multiply
    311,764.56x = 430,239.24 × 184,436.88
  4. Step 4: Simplify right side
    311,764.56x = 79,351,983,079.17
  5. Step 5: Solve for x
    x = 79,351,983,079.17/311,764.56
  6. Step 6: Final answer
    x = 254,525.35

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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.