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Finding the Fourth Proportional to 371,908.44, 513,234.36 and 202,142.16

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Solution

The fourth proportional to 371,908.44, 513,234.36 and 202,142.16 is: 278,956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,908.44 : 513,234.36 = 202,142.16 : x
  2. Step 2: Convert to fraction form
    371,908.44/513,234.36 = 202,142.16/x
  3. Step 3: Cross multiply
    371,908.44x = 513,234.36 × 202,142.16
  4. Step 4: Simplify right side
    371,908.44x = 103,746,302,116.62
  5. Step 5: Solve for x
    x = 103,746,302,116.62/371,908.44
  6. Step 6: Final answer
    x = 278,956.57

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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.