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Finding the Fourth Proportional to 491,492, 737,355 and 159,068

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Solution

The fourth proportional to 491,492, 737,355 and 159,068 is: 238,639.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,492 : 737,355 = 159,068 : x
  2. Step 2: Convert to fraction form
    491,492/737,355 = 159,068/x
  3. Step 3: Cross multiply
    491,492x = 737,355 × 159,068
  4. Step 4: Simplify right side
    491,492x = 117,289,585,140
  5. Step 5: Solve for x
    x = 117,289,585,140/491,492
  6. Step 6: Final answer
    x = 238,639.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.