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Finding the Fourth Proportional to 305,487.54, 458,142.75 and 127,989.54

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Solution

The fourth proportional to 305,487.54, 458,142.75 and 127,989.54 is: 191,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,487.54 : 458,142.75 = 127,989.54 : x
  2. Step 2: Convert to fraction form
    305,487.54/458,142.75 = 127,989.54/x
  3. Step 3: Cross multiply
    305,487.54x = 458,142.75 × 127,989.54
  4. Step 4: Simplify right side
    305,487.54x = 58,637,479,826.84
  5. Step 5: Solve for x
    x = 58,637,479,826.84/305,487.54
  6. Step 6: Final answer
    x = 191,947.21

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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.