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Finding the Fourth Proportional to 356,704.64, 492,256.40 and 203,763.08

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Solution

The fourth proportional to 356,704.64, 492,256.40 and 203,763.08 is: 281,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,704.64 : 492,256.40 = 203,763.08 : x
  2. Step 2: Convert to fraction form
    356,704.64/492,256.40 = 203,763.08/x
  3. Step 3: Cross multiply
    356,704.64x = 492,256.40 × 203,763.08
  4. Step 4: Simplify right side
    356,704.64x = 100,303,680,213.71
  5. Step 5: Solve for x
    x = 100,303,680,213.71/356,704.64
  6. Step 6: Final answer
    x = 281,195.33

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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.