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Finding the Fourth Proportional to 255,704.40, 383,556.60 and 89,509.20

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Solution

The fourth proportional to 255,704.40, 383,556.60 and 89,509.20 is: 134,263.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,704.40 : 383,556.60 = 89,509.20 : x
  2. Step 2: Convert to fraction form
    255,704.40/383,556.60 = 89,509.20/x
  3. Step 3: Cross multiply
    255,704.40x = 383,556.60 × 89,509.20
  4. Step 4: Simplify right side
    255,704.40x = 34,331,844,420.72
  5. Step 5: Solve for x
    x = 34,331,844,420.72/255,704.40
  6. Step 6: Final answer
    x = 134,263.80

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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.