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Finding the Fourth Proportional to 371,097, 512,114.00 and 209,948.58

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Solution

The fourth proportional to 371,097, 512,114.00 and 209,948.58 is: 289,729.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,097 : 512,114.00 = 209,948.58 : x
  2. Step 2: Convert to fraction form
    371,097/512,114.00 = 209,948.58/x
  3. Step 3: Cross multiply
    371,097x = 512,114.00 × 209,948.58
  4. Step 4: Simplify right side
    371,097x = 107,517,606,048.38
  5. Step 5: Solve for x
    x = 107,517,606,048.38/371,097
  6. Step 6: Final answer
    x = 289,729.12

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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.