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Finding the Fourth Proportional to 306,496.33, 459,739.87 and 137,897.59

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Solution

The fourth proportional to 306,496.33, 459,739.87 and 137,897.59 is: 206,844.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,496.33 : 459,739.87 = 137,897.59 : x
  2. Step 2: Convert to fraction form
    306,496.33/459,739.87 = 137,897.59/x
  3. Step 3: Cross multiply
    306,496.33x = 459,739.87 × 137,897.59
  4. Step 4: Simplify right side
    306,496.33x = 63,397,020,099.91
  5. Step 5: Solve for x
    x = 63,397,020,099.91/306,496.33
  6. Step 6: Final answer
    x = 206,844.30

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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.