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Finding the Fourth Proportional to 313,442.75, 470,163.10 and 113,762.87

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Solution

The fourth proportional to 313,442.75, 470,163.10 and 113,762.87 is: 170,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,442.75 : 470,163.10 = 113,762.87 : x
  2. Step 2: Convert to fraction form
    313,442.75/470,163.10 = 113,762.87/x
  3. Step 3: Cross multiply
    313,442.75x = 470,163.10 × 113,762.87
  4. Step 4: Simplify right side
    313,442.75x = 53,487,103,624.10
  5. Step 5: Solve for x
    x = 53,487,103,624.10/313,442.75
  6. Step 6: Final answer
    x = 170,643.93

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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.