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Finding the Fourth Proportional to 456,626.99, 630,321.86 and 408,797.21

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Solution

The fourth proportional to 456,626.99, 630,321.86 and 408,797.21 is: 564,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,626.99 : 630,321.86 = 408,797.21 : x
  2. Step 2: Convert to fraction form
    456,626.99/630,321.86 = 408,797.21/x
  3. Step 3: Cross multiply
    456,626.99x = 630,321.86 × 408,797.21
  4. Step 4: Simplify right side
    456,626.99x = 257,673,815,640.39
  5. Step 5: Solve for x
    x = 257,673,815,640.39/456,626.99
  6. Step 6: Final answer
    x = 564,298.27

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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.