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Finding the Fourth Proportional to 208,550.80, 312,820.28 and 100,455.76

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Solution

The fourth proportional to 208,550.80, 312,820.28 and 100,455.76 is: 150,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,550.80 : 312,820.28 = 100,455.76 : x
  2. Step 2: Convert to fraction form
    208,550.80/312,820.28 = 100,455.76/x
  3. Step 3: Cross multiply
    208,550.80x = 312,820.28 × 100,455.76
  4. Step 4: Simplify right side
    208,550.80x = 31,424,598,970.81
  5. Step 5: Solve for x
    x = 31,424,598,970.81/208,550.80
  6. Step 6: Final answer
    x = 150,680.79

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1.5x scale

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.