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Finding the Fourth Proportional to 313,603.48, 470,475.78 and 103,233.88

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Solution

The fourth proportional to 313,603.48, 470,475.78 and 103,233.88 is: 154,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,603.48 : 470,475.78 = 103,233.88 : x
  2. Step 2: Convert to fraction form
    313,603.48/470,475.78 = 103,233.88/x
  3. Step 3: Cross multiply
    313,603.48x = 470,475.78 × 103,233.88
  4. Step 4: Simplify right side
    313,603.48x = 48,569,040,215.43
  5. Step 5: Solve for x
    x = 48,569,040,215.43/313,603.48
  6. Step 6: Final answer
    x = 154,874.05

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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.