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Finding the Fourth Proportional to 259,390.32, 357,958.64 and 140,158.32

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Solution

The fourth proportional to 259,390.32, 357,958.64 and 140,158.32 is: 193,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,390.32 : 357,958.64 = 140,158.32 : x
  2. Step 2: Convert to fraction form
    259,390.32/357,958.64 = 140,158.32/x
  3. Step 3: Cross multiply
    259,390.32x = 357,958.64 × 140,158.32
  4. Step 4: Simplify right side
    259,390.32x = 50,170,880,911.09
  5. Step 5: Solve for x
    x = 50,170,880,911.09/259,390.32
  6. Step 6: Final answer
    x = 193,418.48

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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.