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Finding the Fourth Proportional to 314,147.20, 470,913.60 and 126,908.80

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Solution

The fourth proportional to 314,147.20, 470,913.60 and 126,908.80 is: 190,239.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,147.20 : 470,913.60 = 126,908.80 : x
  2. Step 2: Convert to fraction form
    314,147.20/470,913.60 = 126,908.80/x
  3. Step 3: Cross multiply
    314,147.20x = 470,913.60 × 126,908.80
  4. Step 4: Simplify right side
    314,147.20x = 59,763,079,879.68
  5. Step 5: Solve for x
    x = 59,763,079,879.68/314,147.20
  6. Step 6: Final answer
    x = 190,239.10

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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.