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Finding the Fourth Proportional to 371,819.40, 513,109.50 and 202,053.48

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Solution

The fourth proportional to 371,819.40, 513,109.50 and 202,053.48 is: 278,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,819.40 : 513,109.50 = 202,053.48 : x
  2. Step 2: Convert to fraction form
    371,819.40/513,109.50 = 202,053.48/x
  3. Step 3: Cross multiply
    371,819.40x = 513,109.50 × 202,053.48
  4. Step 4: Simplify right side
    371,819.40x = 103,675,560,096.06
  5. Step 5: Solve for x
    x = 103,675,560,096.06/371,819.40
  6. Step 6: Final answer
    x = 278,833.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.