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Finding the Fourth Proportional to 347,458.40, 479,504.32 and 204,216.40

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Solution

The fourth proportional to 347,458.40, 479,504.32 and 204,216.40 is: 281,825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,458.40 : 479,504.32 = 204,216.40 : x
  2. Step 2: Convert to fraction form
    347,458.40/479,504.32 = 204,216.40/x
  3. Step 3: Cross multiply
    347,458.40x = 479,504.32 × 204,216.40
  4. Step 4: Simplify right side
    347,458.40x = 97,922,646,014.85
  5. Step 5: Solve for x
    x = 97,922,646,014.85/347,458.40
  6. Step 6: Final answer
    x = 281,825.53

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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.