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Finding the Fourth Proportional to 371,930.44, 513,264.72 and 202,164.16

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Solution

The fourth proportional to 371,930.44, 513,264.72 and 202,164.16 is: 278,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,930.44 : 513,264.72 = 202,164.16 : x
  2. Step 2: Convert to fraction form
    371,930.44/513,264.72 = 202,164.16/x
  3. Step 3: Cross multiply
    371,930.44x = 513,264.72 × 202,164.16
  4. Step 4: Simplify right side
    371,930.44x = 103,763,730,976.44
  5. Step 5: Solve for x
    x = 103,763,730,976.44/371,930.44
  6. Step 6: Final answer
    x = 278,986.93

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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.