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Finding the Fourth Proportional to 371,967.60, 513,309.24 and 202,206

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Solution

The fourth proportional to 371,967.60, 513,309.24 and 202,206 is: 279,040.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,967.60 : 513,309.24 = 202,206 : x
  2. Step 2: Convert to fraction form
    371,967.60/513,309.24 = 202,206/x
  3. Step 3: Cross multiply
    371,967.60x = 513,309.24 × 202,206
  4. Step 4: Simplify right side
    371,967.60x = 103,794,208,183.44
  5. Step 5: Solve for x
    x = 103,794,208,183.44/371,967.60
  6. Step 6: Final answer
    x = 279,040.99

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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.