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Finding the Fourth Proportional to 306,504.64, 459,657.72 and 111,729.88

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Solution

The fourth proportional to 306,504.64, 459,657.72 and 111,729.88 is: 167,558.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,504.64 : 459,657.72 = 111,729.88 : x
  2. Step 2: Convert to fraction form
    306,504.64/459,657.72 = 111,729.88/x
  3. Step 3: Cross multiply
    306,504.64x = 459,657.72 × 111,729.88
  4. Step 4: Simplify right side
    306,504.64x = 51,357,501,896.67
  5. Step 5: Solve for x
    x = 51,357,501,896.67/306,504.64
  6. Step 6: Final answer
    x = 167,558.64

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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.