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Finding the Fourth Proportional to 306,491.84, 459,733.16 and 137,893.10

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Solution

The fourth proportional to 306,491.84, 459,733.16 and 137,893.10 is: 206,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,491.84 : 459,733.16 = 137,893.10 : x
  2. Step 2: Convert to fraction form
    306,491.84/459,733.16 = 137,893.10/x
  3. Step 3: Cross multiply
    306,491.84x = 459,733.16 × 137,893.10
  4. Step 4: Simplify right side
    306,491.84x = 63,394,032,099.26
  5. Step 5: Solve for x
    x = 63,394,032,099.26/306,491.84
  6. Step 6: Final answer
    x = 206,837.59

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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.