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Finding the Fourth Proportional to 454,653.42, 682,007.47 and 139,113.06

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Solution

The fourth proportional to 454,653.42, 682,007.47 and 139,113.06 is: 208,677.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,653.42 : 682,007.47 = 139,113.06 : x
  2. Step 2: Convert to fraction form
    454,653.42/682,007.47 = 139,113.06/x
  3. Step 3: Cross multiply
    454,653.42x = 682,007.47 × 139,113.06
  4. Step 4: Simplify right side
    454,653.42x = 94,876,147,416.80
  5. Step 5: Solve for x
    x = 94,876,147,416.80/454,653.42
  6. Step 6: Final answer
    x = 208,677.96

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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.