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Finding the Fourth Proportional to 313,489.40, 470,234.10 and 195,099.80

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Solution

The fourth proportional to 313,489.40, 470,234.10 and 195,099.80 is: 292,649.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,489.40 : 470,234.10 = 195,099.80 : x
  2. Step 2: Convert to fraction form
    313,489.40/470,234.10 = 195,099.80/x
  3. Step 3: Cross multiply
    313,489.40x = 470,234.10 × 195,099.80
  4. Step 4: Simplify right side
    313,489.40x = 91,742,578,863.18
  5. Step 5: Solve for x
    x = 91,742,578,863.18/313,489.40
  6. Step 6: Final answer
    x = 292,649.70

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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.