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Finding the Fourth Proportional to 313,389.40, 470,270.84 and 113,725.36

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Solution

The fourth proportional to 313,389.40, 470,270.84 and 113,725.36 is: 170,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,389.40 : 470,270.84 = 113,725.36 : x
  2. Step 2: Convert to fraction form
    313,389.40/470,270.84 = 113,725.36/x
  3. Step 3: Cross multiply
    313,389.40x = 470,270.84 × 113,725.36
  4. Step 4: Simplify right side
    313,389.40x = 53,481,720,576.50
  5. Step 5: Solve for x
    x = 53,481,720,576.50/313,389.40
  6. Step 6: Final answer
    x = 170,655.81

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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.