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Finding the Fourth Proportional to 305,348.48, 458,052.96 and 105,640.64

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Solution

The fourth proportional to 305,348.48, 458,052.96 and 105,640.64 is: 158,471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,348.48 : 458,052.96 = 105,640.64 : x
  2. Step 2: Convert to fraction form
    305,348.48/458,052.96 = 105,640.64/x
  3. Step 3: Cross multiply
    305,348.48x = 458,052.96 × 105,640.64
  4. Step 4: Simplify right side
    305,348.48x = 48,389,007,848.29
  5. Step 5: Solve for x
    x = 48,389,007,848.29/305,348.48
  6. Step 6: Final answer
    x = 158,471.42

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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.