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Finding the Fourth Proportional to 312,817.20, 469,221.40 and 76,160.40

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Solution

The fourth proportional to 312,817.20, 469,221.40 and 76,160.40 is: 114,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,817.20 : 469,221.40 = 76,160.40 : x
  2. Step 2: Convert to fraction form
    312,817.20/469,221.40 = 76,160.40/x
  3. Step 3: Cross multiply
    312,817.20x = 469,221.40 × 76,160.40
  4. Step 4: Simplify right side
    312,817.20x = 35,736,089,512.56
  5. Step 5: Solve for x
    x = 35,736,089,512.56/312,817.20
  6. Step 6: Final answer
    x = 114,239.53

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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.