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Finding the Fourth Proportional to 266,627.70, 398,969.55 and 196,643.70

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Solution

The fourth proportional to 266,627.70, 398,969.55 and 196,643.70 is: 294,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,627.70 : 398,969.55 = 196,643.70 : x
  2. Step 2: Convert to fraction form
    266,627.70/398,969.55 = 196,643.70/x
  3. Step 3: Cross multiply
    266,627.70x = 398,969.55 × 196,643.70
  4. Step 4: Simplify right side
    266,627.70x = 78,454,848,499.34
  5. Step 5: Solve for x
    x = 78,454,848,499.34/266,627.70
  6. Step 6: Final answer
    x = 294,248.68

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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.