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Finding the Fourth Proportional to 305,917.84, 458,885.81 and 146,010.63

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Solution

The fourth proportional to 305,917.84, 458,885.81 and 146,010.63 is: 219,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,917.84 : 458,885.81 = 146,010.63 : x
  2. Step 2: Convert to fraction form
    305,917.84/458,885.81 = 146,010.63/x
  3. Step 3: Cross multiply
    305,917.84x = 458,885.81 × 146,010.63
  4. Step 4: Simplify right side
    305,917.84x = 67,002,206,216.16
  5. Step 5: Solve for x
    x = 67,002,206,216.16/305,917.84
  6. Step 6: Final answer
    x = 219,020.26

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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.