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Finding the Fourth Proportional to 458,175.98, 686,987.75 and 205,410.78

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Solution

The fourth proportional to 458,175.98, 686,987.75 and 205,410.78 is: 307,992.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,175.98 : 686,987.75 = 205,410.78 : x
  2. Step 2: Convert to fraction form
    458,175.98/686,987.75 = 205,410.78/x
  3. Step 3: Cross multiply
    458,175.98x = 686,987.75 × 205,410.78
  4. Step 4: Simplify right side
    458,175.98x = 141,114,689,577.95
  5. Step 5: Solve for x
    x = 141,114,689,577.95/458,175.98
  6. Step 6: Final answer
    x = 307,992.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.