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Finding the Fourth Proportional to 537,684.84, 741,972.42 and 311,286.60

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Solution

The fourth proportional to 537,684.84, 741,972.42 and 311,286.60 is: 429,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,684.84 : 741,972.42 = 311,286.60 : x
  2. Step 2: Convert to fraction form
    537,684.84/741,972.42 = 311,286.60/x
  3. Step 3: Cross multiply
    537,684.84x = 741,972.42 × 311,286.60
  4. Step 4: Simplify right side
    537,684.84x = 230,966,071,915.57
  5. Step 5: Solve for x
    x = 230,966,071,915.57/537,684.84
  6. Step 6: Final answer
    x = 429,556.60

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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.