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Finding the Fourth Proportional to 255,629.60, 383,444.40 and 238,133.60

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Solution

The fourth proportional to 255,629.60, 383,444.40 and 238,133.60 is: 357,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,629.60 : 383,444.40 = 238,133.60 : x
  2. Step 2: Convert to fraction form
    255,629.60/383,444.40 = 238,133.60/x
  3. Step 3: Cross multiply
    255,629.60x = 383,444.40 × 238,133.60
  4. Step 4: Simplify right side
    255,629.60x = 91,310,995,371.84
  5. Step 5: Solve for x
    x = 91,310,995,371.84/255,629.60
  6. Step 6: Final answer
    x = 357,200.40

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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.