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Finding the Fourth Proportional to 313,540.56, 470,211.48 and 103,129.56

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Solution

The fourth proportional to 313,540.56, 470,211.48 and 103,129.56 is: 154,661.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,540.56 : 470,211.48 = 103,129.56 : x
  2. Step 2: Convert to fraction form
    313,540.56/470,211.48 = 103,129.56/x
  3. Step 3: Cross multiply
    313,540.56x = 470,211.48 × 103,129.56
  4. Step 4: Simplify right side
    313,540.56x = 48,492,703,039.35
  5. Step 5: Solve for x
    x = 48,492,703,039.35/313,540.56
  6. Step 6: Final answer
    x = 154,661.66

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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.