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Finding the Fourth Proportional to 349,980.96, 482,969.52 and 199,077.60

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Solution

The fourth proportional to 349,980.96, 482,969.52 and 199,077.60 is: 274,724.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,980.96 : 482,969.52 = 199,077.60 : x
  2. Step 2: Convert to fraction form
    349,980.96/482,969.52 = 199,077.60/x
  3. Step 3: Cross multiply
    349,980.96x = 482,969.52 × 199,077.60
  4. Step 4: Simplify right side
    349,980.96x = 96,148,412,914.75
  5. Step 5: Solve for x
    x = 96,148,412,914.75/349,980.96
  6. Step 6: Final answer
    x = 274,724.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.