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Finding the Fourth Proportional to 311,921.22, 430,431.22 and 177,776.58

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Solution

The fourth proportional to 311,921.22, 430,431.22 and 177,776.58 is: 245,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,921.22 : 430,431.22 = 177,776.58 : x
  2. Step 2: Convert to fraction form
    311,921.22/430,431.22 = 177,776.58/x
  3. Step 3: Cross multiply
    311,921.22x = 430,431.22 × 177,776.58
  4. Step 4: Simplify right side
    311,921.22x = 76,520,590,216.83
  5. Step 5: Solve for x
    x = 76,520,590,216.83/311,921.22
  6. Step 6: Final answer
    x = 245,320.25

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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.