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Finding the Fourth Proportional to 371,045.75, 512,043.27 and 209,897.39

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Solution

The fourth proportional to 371,045.75, 512,043.27 and 209,897.39 is: 289,658.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,045.75 : 512,043.27 = 209,897.39 : x
  2. Step 2: Convert to fraction form
    371,045.75/512,043.27 = 209,897.39/x
  3. Step 3: Cross multiply
    371,045.75x = 512,043.27 × 209,897.39
  4. Step 4: Simplify right side
    371,045.75x = 107,476,545,940.07
  5. Step 5: Solve for x
    x = 107,476,545,940.07/371,045.75
  6. Step 6: Final answer
    x = 289,658.47

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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.