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Finding the Fourth Proportional to 456,231.45, 629,390.13 and 295,138.45

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Solution

The fourth proportional to 456,231.45, 629,390.13 and 295,138.45 is: 407,155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,231.45 : 629,390.13 = 295,138.45 : x
  2. Step 2: Convert to fraction form
    456,231.45/629,390.13 = 295,138.45/x
  3. Step 3: Cross multiply
    456,231.45x = 629,390.13 × 295,138.45
  4. Step 4: Simplify right side
    456,231.45x = 185,757,224,266.55
  5. Step 5: Solve for x
    x = 185,757,224,266.55/456,231.45
  6. Step 6: Final answer
    x = 407,155.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.