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Finding the Fourth Proportional to 317,745.14, 476,726.92 and 199,277.78

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Solution

The fourth proportional to 317,745.14, 476,726.92 and 199,277.78 is: 298,985.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,745.14 : 476,726.92 = 199,277.78 : x
  2. Step 2: Convert to fraction form
    317,745.14/476,726.92 = 199,277.78/x
  3. Step 3: Cross multiply
    317,745.14x = 476,726.92 × 199,277.78
  4. Step 4: Simplify right side
    317,745.14x = 95,001,082,283.84
  5. Step 5: Solve for x
    x = 95,001,082,283.84/317,745.14
  6. Step 6: Final answer
    x = 298,985.16

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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.