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Finding the Fourth Proportional to 255,420.93, 383,131.47 and 105,496.44

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Solution

The fourth proportional to 255,420.93, 383,131.47 and 105,496.44 is: 158,244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,420.93 : 383,131.47 = 105,496.44 : x
  2. Step 2: Convert to fraction form
    255,420.93/383,131.47 = 105,496.44/x
  3. Step 3: Cross multiply
    255,420.93x = 383,131.47 × 105,496.44
  4. Step 4: Simplify right side
    255,420.93x = 40,419,005,708.79
  5. Step 5: Solve for x
    x = 40,419,005,708.79/255,420.93
  6. Step 6: Final answer
    x = 158,244.69

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1.5x scale

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.