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Finding the Fourth Proportional to 306,494.83, 459,737.62 and 137,896.09

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Solution

The fourth proportional to 306,494.83, 459,737.62 and 137,896.09 is: 206,842.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,494.83 : 459,737.62 = 137,896.09 : x
  2. Step 2: Convert to fraction form
    306,494.83/459,737.62 = 137,896.09/x
  3. Step 3: Cross multiply
    306,494.83x = 459,737.62 × 137,896.09
  4. Step 4: Simplify right side
    306,494.83x = 63,396,020,223.91
  5. Step 5: Solve for x
    x = 63,396,020,223.91/306,494.83
  6. Step 6: Final answer
    x = 206,842.05

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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.