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Finding the Fourth Proportional to 665,948, 998,922.96 and 271,964

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Solution

The fourth proportional to 665,948, 998,922.96 and 271,964 is: 407,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,948 : 998,922.96 = 271,964 : x
  2. Step 2: Convert to fraction form
    665,948/998,922.96 = 271,964/x
  3. Step 3: Cross multiply
    665,948x = 998,922.96 × 271,964
  4. Step 4: Simplify right side
    665,948x = 271,671,083,893.44
  5. Step 5: Solve for x
    x = 271,671,083,893.44/665,948
  6. Step 6: Final answer
    x = 407,946.39

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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.