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Finding the Fourth Proportional to 371,220, 512,283.96 and 201,454.16

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Solution

The fourth proportional to 371,220, 512,283.96 and 201,454.16 is: 278,006.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,220 : 512,283.96 = 201,454.16 : x
  2. Step 2: Convert to fraction form
    371,220/512,283.96 = 201,454.16/x
  3. Step 3: Cross multiply
    371,220x = 512,283.96 × 201,454.16
  4. Step 4: Simplify right side
    371,220x = 103,201,734,843.27
  5. Step 5: Solve for x
    x = 103,201,734,843.27/371,220
  6. Step 6: Final answer
    x = 278,006.94

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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.