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Finding the Fourth Proportional to 513,216, 770,144.76 and 247,004.64

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Solution

The fourth proportional to 513,216, 770,144.76 and 247,004.64 is: 370,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,216 : 770,144.76 = 247,004.64 : x
  2. Step 2: Convert to fraction form
    513,216/770,144.76 = 247,004.64/x
  3. Step 3: Cross multiply
    513,216x = 770,144.76 × 247,004.64
  4. Step 4: Simplify right side
    513,216x = 190,229,329,191.69
  5. Step 5: Solve for x
    x = 190,229,329,191.69/513,216
  6. Step 6: Final answer
    x = 370,661.34

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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.