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Finding the Fourth Proportional to 208,437.98, 312,700.97 and 80,357.54

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Solution

The fourth proportional to 208,437.98, 312,700.97 and 80,357.54 is: 120,553.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,437.98 : 312,700.97 = 80,357.54 : x
  2. Step 2: Convert to fraction form
    208,437.98/312,700.97 = 80,357.54/x
  3. Step 3: Cross multiply
    208,437.98x = 312,700.97 × 80,357.54
  4. Step 4: Simplify right side
    208,437.98x = 25,127,880,303.03
  5. Step 5: Solve for x
    x = 25,127,880,303.03/208,437.98
  6. Step 6: Final answer
    x = 120,553.27

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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.