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Finding the Fourth Proportional to 305,910.84, 458,875.29 and 146,003.61

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Solution

The fourth proportional to 305,910.84, 458,875.29 and 146,003.61 is: 219,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,910.84 : 458,875.29 = 146,003.61 : x
  2. Step 2: Convert to fraction form
    305,910.84/458,875.29 = 146,003.61/x
  3. Step 3: Cross multiply
    305,910.84x = 458,875.29 × 146,003.61
  4. Step 4: Simplify right side
    305,910.84x = 66,997,451,148.09
  5. Step 5: Solve for x
    x = 66,997,451,148.09/305,910.84
  6. Step 6: Final answer
    x = 219,009.73

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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.