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Finding the Fourth Proportional to 371,811.69, 513,100.85 and 202,045.41

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Solution

The fourth proportional to 371,811.69, 513,100.85 and 202,045.41 is: 278,823.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,811.69 : 513,100.85 = 202,045.41 : x
  2. Step 2: Convert to fraction form
    371,811.69/513,100.85 = 202,045.41/x
  3. Step 3: Cross multiply
    371,811.69x = 513,100.85 × 202,045.41
  4. Step 4: Simplify right side
    371,811.69x = 103,669,670,599.37
  5. Step 5: Solve for x
    x = 103,669,670,599.37/371,811.69
  6. Step 6: Final answer
    x = 278,823.05

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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.