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Finding the Fourth Proportional to 313,904.80, 470,835.60 and 100,669.60

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Solution

The fourth proportional to 313,904.80, 470,835.60 and 100,669.60 is: 150,997.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,904.80 : 470,835.60 = 100,669.60 : x
  2. Step 2: Convert to fraction form
    313,904.80/470,835.60 = 100,669.60/x
  3. Step 3: Cross multiply
    313,904.80x = 470,835.60 × 100,669.60
  4. Step 4: Simplify right side
    313,904.80x = 47,398,831,517.76
  5. Step 5: Solve for x
    x = 47,398,831,517.76/313,904.80
  6. Step 6: Final answer
    x = 150,997.47

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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.