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Finding the Fourth Proportional to 459,808.94, 689,705.37 and 206,910.45

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Solution

The fourth proportional to 459,808.94, 689,705.37 and 206,910.45 is: 310,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,808.94 : 689,705.37 = 206,910.45 : x
  2. Step 2: Convert to fraction form
    459,808.94/689,705.37 = 206,910.45/x
  3. Step 3: Cross multiply
    459,808.94x = 689,705.37 × 206,910.45
  4. Step 4: Simplify right side
    459,808.94x = 142,707,248,474.12
  5. Step 5: Solve for x
    x = 142,707,248,474.12/459,808.94
  6. Step 6: Final answer
    x = 310,362.06

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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.