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Finding the Fourth Proportional to 513,875.20, 770,467.20 and 274,028.80

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Solution

The fourth proportional to 513,875.20, 770,467.20 and 274,028.80 is: 410,858.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,875.20 : 770,467.20 = 274,028.80 : x
  2. Step 2: Convert to fraction form
    513,875.20/770,467.20 = 274,028.80/x
  3. Step 3: Cross multiply
    513,875.20x = 770,467.20 × 274,028.80
  4. Step 4: Simplify right side
    513,875.20x = 211,130,202,255.36
  5. Step 5: Solve for x
    x = 211,130,202,255.36/513,875.20
  6. Step 6: Final answer
    x = 410,858.91

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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.