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Finding the Fourth Proportional to 513,728.64, 770,814.50 and 198,406.98

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Solution

The fourth proportional to 513,728.64, 770,814.50 and 198,406.98 is: 297,696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,728.64 : 770,814.50 = 198,406.98 : x
  2. Step 2: Convert to fraction form
    513,728.64/770,814.50 = 198,406.98/x
  3. Step 3: Cross multiply
    513,728.64x = 770,814.50 × 198,406.98
  4. Step 4: Simplify right side
    513,728.64x = 152,934,976,093.18
  5. Step 5: Solve for x
    x = 152,934,976,093.18/513,728.64
  6. Step 6: Final answer
    x = 297,696.03

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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.