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Finding the Fourth Proportional to 355,509.24, 490,603.02 and 194,361.72

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Solution

The fourth proportional to 355,509.24, 490,603.02 and 194,361.72 is: 268,219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,509.24 : 490,603.02 = 194,361.72 : x
  2. Step 2: Convert to fraction form
    355,509.24/490,603.02 = 194,361.72/x
  3. Step 3: Cross multiply
    355,509.24x = 490,603.02 × 194,361.72
  4. Step 4: Simplify right side
    355,509.24x = 95,354,446,804.39
  5. Step 5: Solve for x
    x = 95,354,446,804.39/355,509.24
  6. Step 6: Final answer
    x = 268,219.32

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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.