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Finding the Fourth Proportional to 454,879.60, 682,319.40 and 139,295.50

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Solution

The fourth proportional to 454,879.60, 682,319.40 and 139,295.50 is: 208,943.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,879.60 : 682,319.40 = 139,295.50 : x
  2. Step 2: Convert to fraction form
    454,879.60/682,319.40 = 139,295.50/x
  3. Step 3: Cross multiply
    454,879.60x = 682,319.40 × 139,295.50
  4. Step 4: Simplify right side
    454,879.60x = 95,044,019,754.54
  5. Step 5: Solve for x
    x = 95,044,019,754.54/454,879.60
  6. Step 6: Final answer
    x = 208,943.25

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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.