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Finding the Fourth Proportional to 313,821.88, 470,683.20 and 136,281.22

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Solution

The fourth proportional to 313,821.88, 470,683.20 and 136,281.22 is: 204,400.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,821.88 : 470,683.20 = 136,281.22 : x
  2. Step 2: Convert to fraction form
    313,821.88/470,683.20 = 136,281.22/x
  3. Step 3: Cross multiply
    313,821.88x = 470,683.20 × 136,281.22
  4. Step 4: Simplify right side
    313,821.88x = 64,145,280,729.50
  5. Step 5: Solve for x
    x = 64,145,280,729.50/313,821.88
  6. Step 6: Final answer
    x = 204,400.28

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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.