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Finding the Fourth Proportional to 306,194.56, 459,134.40 and 137,570.36

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Solution

The fourth proportional to 306,194.56, 459,134.40 and 137,570.36 is: 206,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,194.56 : 459,134.40 = 137,570.36 : x
  2. Step 2: Convert to fraction form
    306,194.56/459,134.40 = 137,570.36/x
  3. Step 3: Cross multiply
    306,194.56x = 459,134.40 × 137,570.36
  4. Step 4: Simplify right side
    306,194.56x = 63,163,284,696.38
  5. Step 5: Solve for x
    x = 63,163,284,696.38/306,194.56
  6. Step 6: Final answer
    x = 206,284.80

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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.