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Finding the Fourth Proportional to 454,803.69, 682,238.34 and 139,219.59

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Solution

The fourth proportional to 454,803.69, 682,238.34 and 139,219.59 is: 208,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,803.69 : 682,238.34 = 139,219.59 : x
  2. Step 2: Convert to fraction form
    454,803.69/682,238.34 = 139,219.59/x
  3. Step 3: Cross multiply
    454,803.69x = 682,238.34 × 139,219.59
  4. Step 4: Simplify right side
    454,803.69x = 94,980,941,977.08
  5. Step 5: Solve for x
    x = 94,980,941,977.08/454,803.69
  6. Step 6: Final answer
    x = 208,839.43

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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.