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Finding the Fourth Proportional to 264,311.40, 396,467.10 and 139,895.40

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Solution

The fourth proportional to 264,311.40, 396,467.10 and 139,895.40 is: 209,843.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,311.40 : 396,467.10 = 139,895.40 : x
  2. Step 2: Convert to fraction form
    264,311.40/396,467.10 = 139,895.40/x
  3. Step 3: Cross multiply
    264,311.40x = 396,467.10 × 139,895.40
  4. Step 4: Simplify right side
    264,311.40x = 55,463,923,541.34
  5. Step 5: Solve for x
    x = 55,463,923,541.34/264,311.40
  6. Step 6: Final answer
    x = 209,843.10

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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.