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Finding the Fourth Proportional to 228,441.60, 315,242.64 and 126,471.60

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Solution

The fourth proportional to 228,441.60, 315,242.64 and 126,471.60 is: 174,527.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,441.60 : 315,242.64 = 126,471.60 : x
  2. Step 2: Convert to fraction form
    228,441.60/315,242.64 = 126,471.60/x
  3. Step 3: Cross multiply
    228,441.60x = 315,242.64 × 126,471.60
  4. Step 4: Simplify right side
    228,441.60x = 39,869,241,069.02
  5. Step 5: Solve for x
    x = 39,869,241,069.02/228,441.60
  6. Step 6: Final answer
    x = 174,527.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.