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Finding the Fourth Proportional to 318,648, 477,972 and 97,032

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Solution

The fourth proportional to 318,648, 477,972 and 97,032 is: 145,548

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,648 : 477,972 = 97,032 : x
  2. Step 2: Convert to fraction form
    318,648/477,972 = 97,032/x
  3. Step 3: Cross multiply
    318,648x = 477,972 × 97,032
  4. Step 4: Simplify right side
    318,648x = 46,378,579,104
  5. Step 5: Solve for x
    x = 46,378,579,104/318,648
  6. Step 6: Final answer
    x = 145,548

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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.