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Finding the Fourth Proportional to 313,351.40, 470,027.10 and 102,938.60

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Solution

The fourth proportional to 313,351.40, 470,027.10 and 102,938.60 is: 154,407.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,351.40 : 470,027.10 = 102,938.60 : x
  2. Step 2: Convert to fraction form
    313,351.40/470,027.10 = 102,938.60/x
  3. Step 3: Cross multiply
    313,351.40x = 470,027.10 × 102,938.60
  4. Step 4: Simplify right side
    313,351.40x = 48,383,931,636.06
  5. Step 5: Solve for x
    x = 48,383,931,636.06/313,351.40
  6. Step 6: Final answer
    x = 154,407.90

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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.