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Finding the Fourth Proportional to 255,697.90, 383,485.33 and 78,206.46

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Solution

The fourth proportional to 255,697.90, 383,485.33 and 78,206.46 is: 117,290.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,697.90 : 383,485.33 = 78,206.46 : x
  2. Step 2: Convert to fraction form
    255,697.90/383,485.33 = 78,206.46/x
  3. Step 3: Cross multiply
    255,697.90x = 383,485.33 × 78,206.46
  4. Step 4: Simplify right side
    255,697.90x = 29,991,030,121.23
  5. Step 5: Solve for x
    x = 29,991,030,121.23/255,697.90
  6. Step 6: Final answer
    x = 117,290.87

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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.