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Finding the Fourth Proportional to 371,916, 513,242.16 and 202,151.04

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Solution

The fourth proportional to 371,916, 513,242.16 and 202,151.04 is: 278,967.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,916 : 513,242.16 = 202,151.04 : x
  2. Step 2: Convert to fraction form
    371,916/513,242.16 = 202,151.04/x
  3. Step 3: Cross multiply
    371,916x = 513,242.16 × 202,151.04
  4. Step 4: Simplify right side
    371,916x = 103,752,436,415.85
  5. Step 5: Solve for x
    x = 103,752,436,415.85/371,916
  6. Step 6: Final answer
    x = 278,967.39

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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.