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Finding the Fourth Proportional to 305,601.68, 458,496.40 and 145,881.44

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Solution

The fourth proportional to 305,601.68, 458,496.40 and 145,881.44 is: 218,866.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,601.68 : 458,496.40 = 145,881.44 : x
  2. Step 2: Convert to fraction form
    305,601.68/458,496.40 = 145,881.44/x
  3. Step 3: Cross multiply
    305,601.68x = 458,496.40 × 145,881.44
  4. Step 4: Simplify right side
    305,601.68x = 66,886,115,066.82
  5. Step 5: Solve for x
    x = 66,886,115,066.82/305,601.68
  6. Step 6: Final answer
    x = 218,866.97

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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.