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Finding the Fourth Proportional to 513,307.87, 770,093.21 and 213,688.87

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Solution

The fourth proportional to 513,307.87, 770,093.21 and 213,688.87 is: 320,588.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,307.87 : 770,093.21 = 213,688.87 : x
  2. Step 2: Convert to fraction form
    513,307.87/770,093.21 = 213,688.87/x
  3. Step 3: Cross multiply
    513,307.87x = 770,093.21 × 213,688.87
  4. Step 4: Simplify right side
    513,307.87x = 164,560,347,839.57
  5. Step 5: Solve for x
    x = 164,560,347,839.57/513,307.87
  6. Step 6: Final answer
    x = 320,588.01

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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.