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Finding the Fourth Proportional to 313,453.80, 470,180.70 and 91,837.80

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Solution

The fourth proportional to 313,453.80, 470,180.70 and 91,837.80 is: 137,756.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,453.80 : 470,180.70 = 91,837.80 : x
  2. Step 2: Convert to fraction form
    313,453.80/470,180.70 = 91,837.80/x
  3. Step 3: Cross multiply
    313,453.80x = 470,180.70 × 91,837.80
  4. Step 4: Simplify right side
    313,453.80x = 43,180,361,090.46
  5. Step 5: Solve for x
    x = 43,180,361,090.46/313,453.80
  6. Step 6: Final answer
    x = 137,756.70

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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.