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Finding the Fourth Proportional to 459,804.60, 689,698.85 and 206,906.10

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Solution

The fourth proportional to 459,804.60, 689,698.85 and 206,906.10 is: 310,355.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,804.60 : 689,698.85 = 206,906.10 : x
  2. Step 2: Convert to fraction form
    459,804.60/689,698.85 = 206,906.10/x
  3. Step 3: Cross multiply
    459,804.60x = 689,698.85 × 206,906.10
  4. Step 4: Simplify right side
    459,804.60x = 142,702,899,227.99
  5. Step 5: Solve for x
    x = 142,702,899,227.99/459,804.60
  6. Step 6: Final answer
    x = 310,355.53

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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.