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Finding the Fourth Proportional to 289,222.32, 398,846.40 and 225,536.88

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Solution

The fourth proportional to 289,222.32, 398,846.40 and 225,536.88 is: 311,022.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,222.32 : 398,846.40 = 225,536.88 : x
  2. Step 2: Convert to fraction form
    289,222.32/398,846.40 = 225,536.88/x
  3. Step 3: Cross multiply
    289,222.32x = 398,846.40 × 225,536.88
  4. Step 4: Simplify right side
    289,222.32x = 89,954,572,655.23
  5. Step 5: Solve for x
    x = 89,954,572,655.23/289,222.32
  6. Step 6: Final answer
    x = 311,022.24

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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.