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Finding the Fourth Proportional to 306,406.54, 459,707.91 and 126,576.46

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Solution

The fourth proportional to 306,406.54, 459,707.91 and 126,576.46 is: 189,905.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,406.54 : 459,707.91 = 126,576.46 : x
  2. Step 2: Convert to fraction form
    306,406.54/459,707.91 = 126,576.46/x
  3. Step 3: Cross multiply
    306,406.54x = 459,707.91 × 126,576.46
  4. Step 4: Simplify right side
    306,406.54x = 58,188,199,881.80
  5. Step 5: Solve for x
    x = 58,188,199,881.80/306,406.54
  6. Step 6: Final answer
    x = 189,905.22

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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.