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Finding the Fourth Proportional to 513,558.64, 770,187.44 and 193,479.57

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Solution

The fourth proportional to 513,558.64, 770,187.44 and 193,479.57 is: 290,162.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,558.64 : 770,187.44 = 193,479.57 : x
  2. Step 2: Convert to fraction form
    513,558.64/770,187.44 = 193,479.57/x
  3. Step 3: Cross multiply
    513,558.64x = 770,187.44 × 193,479.57
  4. Step 4: Simplify right side
    513,558.64x = 149,015,534,710.60
  5. Step 5: Solve for x
    x = 149,015,534,710.60/513,558.64
  6. Step 6: Final answer
    x = 290,162.65

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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.