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Finding the Fourth Proportional to 394,443.60, 590,790.60 and 157,664.40

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Solution

The fourth proportional to 394,443.60, 590,790.60 and 157,664.40 is: 236,146.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,443.60 : 590,790.60 = 157,664.40 : x
  2. Step 2: Convert to fraction form
    394,443.60/590,790.60 = 157,664.40/x
  3. Step 3: Cross multiply
    394,443.60x = 590,790.60 × 157,664.40
  4. Step 4: Simplify right side
    394,443.60x = 93,146,645,474.64
  5. Step 5: Solve for x
    x = 93,146,645,474.64/394,443.60
  6. Step 6: Final answer
    x = 236,146.93

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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.