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Finding the Fourth Proportional to 513,481.68, 770,405.00 and 229,146.35

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Solution

The fourth proportional to 513,481.68, 770,405.00 and 229,146.35 is: 343,800.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,481.68 : 770,405.00 = 229,146.35 : x
  2. Step 2: Convert to fraction form
    513,481.68/770,405.00 = 229,146.35/x
  3. Step 3: Cross multiply
    513,481.68x = 770,405.00 × 229,146.35
  4. Step 4: Simplify right side
    513,481.68x = 176,535,488,773.99
  5. Step 5: Solve for x
    x = 176,535,488,773.99/513,481.68
  6. Step 6: Final answer
    x = 343,800.95

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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.