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Finding the Fourth Proportional to 345,704.20, 477,071.70 and 186,728.20

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Solution

The fourth proportional to 345,704.20, 477,071.70 and 186,728.20 is: 257,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,704.20 : 477,071.70 = 186,728.20 : x
  2. Step 2: Convert to fraction form
    345,704.20/477,071.70 = 186,728.20/x
  3. Step 3: Cross multiply
    345,704.20x = 477,071.70 × 186,728.20
  4. Step 4: Simplify right side
    345,704.20x = 89,082,739,811.94
  5. Step 5: Solve for x
    x = 89,082,739,811.94/345,704.20
  6. Step 6: Final answer
    x = 257,684.86

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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.