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Finding the Fourth Proportional to 459,738.40, 689,600.67 and 206,840.30

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Solution

The fourth proportional to 459,738.40, 689,600.67 and 206,840.30 is: 310,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,738.40 : 689,600.67 = 206,840.30 : x
  2. Step 2: Convert to fraction form
    459,738.40/689,600.67 = 206,840.30/x
  3. Step 3: Cross multiply
    459,738.40x = 689,600.67 × 206,840.30
  4. Step 4: Simplify right side
    459,738.40x = 142,637,208,601.00
  5. Step 5: Solve for x
    x = 142,637,208,601.00/459,738.40
  6. Step 6: Final answer
    x = 310,257.33

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1.5x scale

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.