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Finding the Fourth Proportional to 454,690.56, 682,011.60 and 139,147.68

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Solution

The fourth proportional to 454,690.56, 682,011.60 and 139,147.68 is: 208,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,690.56 : 682,011.60 = 139,147.68 : x
  2. Step 2: Convert to fraction form
    454,690.56/682,011.60 = 139,147.68/x
  3. Step 3: Cross multiply
    454,690.56x = 682,011.60 × 139,147.68
  4. Step 4: Simplify right side
    454,690.56x = 94,900,331,873.09
  5. Step 5: Solve for x
    x = 94,900,331,873.09/454,690.56
  6. Step 6: Final answer
    x = 208,714.10

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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.