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Finding the Fourth Proportional to 305,837.34, 458,906.36 and 137,476.60

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Solution

The fourth proportional to 305,837.34, 458,906.36 and 137,476.60 is: 206,282.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,837.34 : 458,906.36 = 137,476.60 : x
  2. Step 2: Convert to fraction form
    305,837.34/458,906.36 = 137,476.60/x
  3. Step 3: Cross multiply
    305,837.34x = 458,906.36 × 137,476.60
  4. Step 4: Simplify right side
    305,837.34x = 63,088,886,091.18
  5. Step 5: Solve for x
    x = 63,088,886,091.18/305,837.34
  6. Step 6: Final answer
    x = 206,282.48

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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.