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Finding the Fourth Proportional to 306,506.64, 459,660.72 and 111,731.88

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Solution

The fourth proportional to 306,506.64, 459,660.72 and 111,731.88 is: 167,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,506.64 : 459,660.72 = 111,731.88 : x
  2. Step 2: Convert to fraction form
    306,506.64/459,660.72 = 111,731.88/x
  3. Step 3: Cross multiply
    306,506.64x = 459,660.72 × 111,731.88
  4. Step 4: Simplify right side
    306,506.64x = 51,358,756,407.75
  5. Step 5: Solve for x
    x = 51,358,756,407.75/306,506.64
  6. Step 6: Final answer
    x = 167,561.64

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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.