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Finding the Fourth Proportional to 513,447.12, 770,302.44 and 213,828.12

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Solution

The fourth proportional to 513,447.12, 770,302.44 and 213,828.12 is: 320,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,447.12 : 770,302.44 = 213,828.12 : x
  2. Step 2: Convert to fraction form
    513,447.12/770,302.44 = 213,828.12/x
  3. Step 3: Cross multiply
    513,447.12x = 770,302.44 × 213,828.12
  4. Step 4: Simplify right side
    513,447.12x = 164,712,322,576.61
  5. Step 5: Solve for x
    x = 164,712,322,576.61/513,447.12
  6. Step 6: Final answer
    x = 320,797.05

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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.