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Finding the Fourth Proportional to 312,708.74, 469,059.30 and 76,051.67

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Solution

The fourth proportional to 312,708.74, 469,059.30 and 76,051.67 is: 114,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,708.74 : 469,059.30 = 76,051.67 : x
  2. Step 2: Convert to fraction form
    312,708.74/469,059.30 = 76,051.67/x
  3. Step 3: Cross multiply
    312,708.74x = 469,059.30 × 76,051.67
  4. Step 4: Simplify right side
    312,708.74x = 35,672,740,748.73
  5. Step 5: Solve for x
    x = 35,672,740,748.73/312,708.74
  6. Step 6: Final answer
    x = 114,076.57

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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.