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Finding the Fourth Proportional to 305,893.53, 458,905.89 and 128,298.18

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Solution

The fourth proportional to 305,893.53, 458,905.89 and 128,298.18 is: 192,474.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,893.53 : 458,905.89 = 128,298.18 : x
  2. Step 2: Convert to fraction form
    305,893.53/458,905.89 = 128,298.18/x
  3. Step 3: Cross multiply
    305,893.53x = 458,905.89 × 128,298.18
  4. Step 4: Simplify right side
    305,893.53x = 58,876,790,478.28
  5. Step 5: Solve for x
    x = 58,876,790,478.28/305,893.53
  6. Step 6: Final answer
    x = 192,474.78

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1.5x scale

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.