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Finding the Fourth Proportional to 356,319, 491,696.73 and 195,175.98

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Solution

The fourth proportional to 356,319, 491,696.73 and 195,175.98 is: 269,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,319 : 491,696.73 = 195,175.98 : x
  2. Step 2: Convert to fraction form
    356,319/491,696.73 = 195,175.98/x
  3. Step 3: Cross multiply
    356,319x = 491,696.73 × 195,175.98
  4. Step 4: Simplify right side
    356,319x = 95,967,391,140.55
  5. Step 5: Solve for x
    x = 95,967,391,140.55/356,319
  6. Step 6: Final answer
    x = 269,329.99

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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.