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Finding the Fourth Proportional to 208,970.28, 313,455.42 and 146,917.80

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Solution

The fourth proportional to 208,970.28, 313,455.42 and 146,917.80 is: 220,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,970.28 : 313,455.42 = 146,917.80 : x
  2. Step 2: Convert to fraction form
    208,970.28/313,455.42 = 146,917.80/x
  3. Step 3: Cross multiply
    208,970.28x = 313,455.42 × 146,917.80
  4. Step 4: Simplify right side
    208,970.28x = 46,052,180,704.48
  5. Step 5: Solve for x
    x = 46,052,180,704.48/208,970.28
  6. Step 6: Final answer
    x = 220,376.70

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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.