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Finding the Fourth Proportional to 313,400.10, 470,100.15 and 76,745.10

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Solution

The fourth proportional to 313,400.10, 470,100.15 and 76,745.10 is: 115,117.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,400.10 : 470,100.15 = 76,745.10 : x
  2. Step 2: Convert to fraction form
    313,400.10/470,100.15 = 76,745.10/x
  3. Step 3: Cross multiply
    313,400.10x = 470,100.15 × 76,745.10
  4. Step 4: Simplify right side
    313,400.10x = 36,077,883,021.77
  5. Step 5: Solve for x
    x = 36,077,883,021.77/313,400.10
  6. Step 6: Final answer
    x = 115,117.65

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1.5x scale

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.