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Finding the Fourth Proportional to 356,014.65, 491,290.32 and 203,049.25

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Solution

The fourth proportional to 356,014.65, 491,290.32 and 203,049.25 is: 280,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,014.65 : 491,290.32 = 203,049.25 : x
  2. Step 2: Convert to fraction form
    356,014.65/491,290.32 = 203,049.25/x
  3. Step 3: Cross multiply
    356,014.65x = 491,290.32 × 203,049.25
  4. Step 4: Simplify right side
    356,014.65x = 99,756,131,008.26
  5. Step 5: Solve for x
    x = 99,756,131,008.26/356,014.65
  6. Step 6: Final answer
    x = 280,202.32

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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.