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Finding the Fourth Proportional to 314,980.46, 472,667.45 and 127,991.90

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Solution

The fourth proportional to 314,980.46, 472,667.45 and 127,991.90 is: 192,067.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,980.46 : 472,667.45 = 127,991.90 : x
  2. Step 2: Convert to fraction form
    314,980.46/472,667.45 = 127,991.90/x
  3. Step 3: Cross multiply
    314,980.46x = 472,667.45 × 127,991.90
  4. Step 4: Simplify right side
    314,980.46x = 60,497,604,993.66
  5. Step 5: Solve for x
    x = 60,497,604,993.66/314,980.46
  6. Step 6: Final answer
    x = 192,067.80

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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.