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Finding the Fourth Proportional to 371,080.43, 512,075.28 and 209,938.22

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Solution

The fourth proportional to 371,080.43, 512,075.28 and 209,938.22 is: 289,705.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,080.43 : 512,075.28 = 209,938.22 : x
  2. Step 2: Convert to fraction form
    371,080.43/512,075.28 = 209,938.22/x
  3. Step 3: Cross multiply
    371,080.43x = 512,075.28 × 209,938.22
  4. Step 4: Simplify right side
    371,080.43x = 107,504,172,789.20
  5. Step 5: Solve for x
    x = 107,504,172,789.20/371,080.43
  6. Step 6: Final answer
    x = 289,705.85

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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.