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Finding the Fourth Proportional to 289,099.44, 433,464.12 and 139,040.82

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Solution

The fourth proportional to 289,099.44, 433,464.12 and 139,040.82 is: 208,472.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,099.44 : 433,464.12 = 139,040.82 : x
  2. Step 2: Convert to fraction form
    289,099.44/433,464.12 = 139,040.82/x
  3. Step 3: Cross multiply
    289,099.44x = 433,464.12 × 139,040.82
  4. Step 4: Simplify right side
    289,099.44x = 60,269,206,685.38
  5. Step 5: Solve for x
    x = 60,269,206,685.38/289,099.44
  6. Step 6: Final answer
    x = 208,472.24

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1.5x scale

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.