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Finding the Fourth Proportional to 306,039.60, 458,840.70 and 137,421.90

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Solution

The fourth proportional to 306,039.60, 458,840.70 and 137,421.90 is: 206,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,039.60 : 458,840.70 = 137,421.90 : x
  2. Step 2: Convert to fraction form
    306,039.60/458,840.70 = 137,421.90/x
  3. Step 3: Cross multiply
    306,039.60x = 458,840.70 × 137,421.90
  4. Step 4: Simplify right side
    306,039.60x = 63,054,760,791.33
  5. Step 5: Solve for x
    x = 63,054,760,791.33/306,039.60
  6. Step 6: Final answer
    x = 206,034.65

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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.