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Finding the Fourth Proportional to 255,993.40, 383,246.42 and 149,051.12

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Solution

The fourth proportional to 255,993.40, 383,246.42 and 149,051.12 is: 223,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,993.40 : 383,246.42 = 149,051.12 : x
  2. Step 2: Convert to fraction form
    255,993.40/383,246.42 = 149,051.12/x
  3. Step 3: Cross multiply
    255,993.40x = 383,246.42 × 149,051.12
  4. Step 4: Simplify right side
    255,993.40x = 57,123,308,349.85
  5. Step 5: Solve for x
    x = 57,123,308,349.85/255,993.40
  6. Step 6: Final answer
    x = 223,143.68

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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.