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Finding the Fourth Proportional to 456,488.20, 684,894.30 and 203,745.64

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Solution

The fourth proportional to 456,488.20, 684,894.30 and 203,745.64 is: 305,690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,488.20 : 684,894.30 = 203,745.64 : x
  2. Step 2: Convert to fraction form
    456,488.20/684,894.30 = 203,745.64/x
  3. Step 3: Cross multiply
    456,488.20x = 684,894.30 × 203,745.64
  4. Step 4: Simplify right side
    456,488.20x = 139,544,227,485.85
  5. Step 5: Solve for x
    x = 139,544,227,485.85/456,488.20
  6. Step 6: Final answer
    x = 305,690.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.