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Finding the Fourth Proportional to 255,808.24, 383,978.50 and 188,416.37

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Solution

The fourth proportional to 255,808.24, 383,978.50 and 188,416.37 is: 282,820.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,808.24 : 383,978.50 = 188,416.37 : x
  2. Step 2: Convert to fraction form
    255,808.24/383,978.50 = 188,416.37/x
  3. Step 3: Cross multiply
    255,808.24x = 383,978.50 × 188,416.37
  4. Step 4: Simplify right side
    255,808.24x = 72,347,833,457.07
  5. Step 5: Solve for x
    x = 72,347,833,457.07/255,808.24
  6. Step 6: Final answer
    x = 282,820.58

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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.