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Finding the Fourth Proportional to 255,635.20, 383,164.80 and 122,579.20

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Solution

The fourth proportional to 255,635.20, 383,164.80 and 122,579.20 is: 183,730.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,635.20 : 383,164.80 = 122,579.20 : x
  2. Step 2: Convert to fraction form
    255,635.20/383,164.80 = 122,579.20/x
  3. Step 3: Cross multiply
    255,635.20x = 383,164.80 × 122,579.20
  4. Step 4: Simplify right side
    255,635.20x = 46,968,034,652.16
  5. Step 5: Solve for x
    x = 46,968,034,652.16/255,635.20
  6. Step 6: Final answer
    x = 183,730.70

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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.