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Finding the Fourth Proportional to 306,608.30, 459,912.57 and 137,931.60

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Solution

The fourth proportional to 306,608.30, 459,912.57 and 137,931.60 is: 206,897.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,608.30 : 459,912.57 = 137,931.60 : x
  2. Step 2: Convert to fraction form
    306,608.30/459,912.57 = 137,931.60/x
  3. Step 3: Cross multiply
    306,608.30x = 459,912.57 × 137,931.60
  4. Step 4: Simplify right side
    306,608.30x = 63,436,476,640.21
  5. Step 5: Solve for x
    x = 63,436,476,640.21/306,608.30
  6. Step 6: Final answer
    x = 206,897.46

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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.