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Finding the Fourth Proportional to 311,634.90, 430,056.14 and 168,394.94

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Solution

The fourth proportional to 311,634.90, 430,056.14 and 168,394.94 is: 232,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,634.90 : 430,056.14 = 168,394.94 : x
  2. Step 2: Convert to fraction form
    311,634.90/430,056.14 = 168,394.94/x
  3. Step 3: Cross multiply
    311,634.90x = 430,056.14 × 168,394.94
  4. Step 4: Simplify right side
    311,634.90x = 72,419,277,891.93
  5. Step 5: Solve for x
    x = 72,419,277,891.93/311,634.90
  6. Step 6: Final answer
    x = 232,385.01

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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.