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Finding the Fourth Proportional to 313,896.70, 470,808.60 and 89,291.80

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Solution

The fourth proportional to 313,896.70, 470,808.60 and 89,291.80 is: 133,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,896.70 : 470,808.60 = 89,291.80 : x
  2. Step 2: Convert to fraction form
    313,896.70/470,808.60 = 89,291.80/x
  3. Step 3: Cross multiply
    313,896.70x = 470,808.60 × 89,291.80
  4. Step 4: Simplify right side
    313,896.70x = 42,039,347,349.48
  5. Step 5: Solve for x
    x = 42,039,347,349.48/313,896.70
  6. Step 6: Final answer
    x = 133,927.33

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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.