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Finding the Fourth Proportional to 311,934.95, 430,470.25 and 168,694.95

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Solution

The fourth proportional to 311,934.95, 430,470.25 and 168,694.95 is: 232,799.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,934.95 : 430,470.25 = 168,694.95 : x
  2. Step 2: Convert to fraction form
    311,934.95/430,470.25 = 168,694.95/x
  3. Step 3: Cross multiply
    311,934.95x = 430,470.25 × 168,694.95
  4. Step 4: Simplify right side
    311,934.95x = 72,618,158,492.76
  5. Step 5: Solve for x
    x = 72,618,158,492.76/311,934.95
  6. Step 6: Final answer
    x = 232,799.05

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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.