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Finding the Fourth Proportional to 311,959.55, 430,504.27 and 176,022.32

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Solution

The fourth proportional to 311,959.55, 430,504.27 and 176,022.32 is: 242,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,959.55 : 430,504.27 = 176,022.32 : x
  2. Step 2: Convert to fraction form
    311,959.55/430,504.27 = 176,022.32/x
  3. Step 3: Cross multiply
    311,959.55x = 430,504.27 × 176,022.32
  4. Step 4: Simplify right side
    311,959.55x = 75,778,357,782.73
  5. Step 5: Solve for x
    x = 75,778,357,782.73/311,959.55
  6. Step 6: Final answer
    x = 242,910.84

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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.