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Finding the Fourth Proportional to 209,408.80, 313,345.20 and 154,112.80

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Solution

The fourth proportional to 209,408.80, 313,345.20 and 154,112.80 is: 230,604.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,408.80 : 313,345.20 = 154,112.80 : x
  2. Step 2: Convert to fraction form
    209,408.80/313,345.20 = 154,112.80/x
  3. Step 3: Cross multiply
    209,408.80x = 313,345.20 × 154,112.80
  4. Step 4: Simplify right side
    209,408.80x = 48,290,506,138.56
  5. Step 5: Solve for x
    x = 48,290,506,138.56/209,408.80
  6. Step 6: Final answer
    x = 230,604.00

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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.