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Finding the Fourth Proportional to 312,940.40, 469,498.14 and 102,725.96

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Solution

The fourth proportional to 312,940.40, 469,498.14 and 102,725.96 is: 154,117.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,940.40 : 469,498.14 = 102,725.96 : x
  2. Step 2: Convert to fraction form
    312,940.40/469,498.14 = 102,725.96/x
  3. Step 3: Cross multiply
    312,940.40x = 469,498.14 × 102,725.96
  4. Step 4: Simplify right side
    312,940.40x = 48,229,644,802.22
  5. Step 5: Solve for x
    x = 48,229,644,802.22/312,940.40
  6. Step 6: Final answer
    x = 154,117.67

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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.