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Finding the Fourth Proportional to 254,155.44, 350,745.96 and 140,978.16

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Solution

The fourth proportional to 254,155.44, 350,745.96 and 140,978.16 is: 194,556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,155.44 : 350,745.96 = 140,978.16 : x
  2. Step 2: Convert to fraction form
    254,155.44/350,745.96 = 140,978.16/x
  3. Step 3: Cross multiply
    254,155.44x = 350,745.96 × 140,978.16
  4. Step 4: Simplify right side
    254,155.44x = 49,447,520,068.23
  5. Step 5: Solve for x
    x = 49,447,520,068.23/254,155.44
  6. Step 6: Final answer
    x = 194,556.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.