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Finding the Fourth Proportional to 513,338.76, 770,139.33 and 213,719.76

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Solution

The fourth proportional to 513,338.76, 770,139.33 and 213,719.76 is: 320,634.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,338.76 : 770,139.33 = 213,719.76 : x
  2. Step 2: Convert to fraction form
    513,338.76/770,139.33 = 213,719.76/x
  3. Step 3: Cross multiply
    513,338.76x = 770,139.33 × 213,719.76
  4. Step 4: Simplify right side
    513,338.76x = 164,593,992,774.16
  5. Step 5: Solve for x
    x = 164,593,992,774.16/513,338.76
  6. Step 6: Final answer
    x = 320,634.26

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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.