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Finding the Fourth Proportional to 458,175.48, 686,987 and 205,410.28

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Solution

The fourth proportional to 458,175.48, 686,987 and 205,410.28 is: 307,991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,175.48 : 686,987 = 205,410.28 : x
  2. Step 2: Convert to fraction form
    458,175.48/686,987 = 205,410.28/x
  3. Step 3: Cross multiply
    458,175.48x = 686,987 × 205,410.28
  4. Step 4: Simplify right side
    458,175.48x = 141,114,192,026.36
  5. Step 5: Solve for x
    x = 141,114,192,026.36/458,175.48
  6. Step 6: Final answer
    x = 307,991.58

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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.