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Finding the Fourth Proportional to 371,654.60, 512,897.44 and 208,314.10

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Solution

The fourth proportional to 371,654.60, 512,897.44 and 208,314.10 is: 287,481.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,654.60 : 512,897.44 = 208,314.10 : x
  2. Step 2: Convert to fraction form
    371,654.60/512,897.44 = 208,314.10/x
  3. Step 3: Cross multiply
    371,654.60x = 512,897.44 × 208,314.10
  4. Step 4: Simplify right side
    371,654.60x = 106,843,768,605.90
  5. Step 5: Solve for x
    x = 106,843,768,605.90/371,654.60
  6. Step 6: Final answer
    x = 287,481.36

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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.