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Finding the Fourth Proportional to 208,023.40, 312,035.10 and 205,949.80

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Solution

The fourth proportional to 208,023.40, 312,035.10 and 205,949.80 is: 308,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,023.40 : 312,035.10 = 205,949.80 : x
  2. Step 2: Convert to fraction form
    208,023.40/312,035.10 = 205,949.80/x
  3. Step 3: Cross multiply
    208,023.40x = 312,035.10 × 205,949.80
  4. Step 4: Simplify right side
    208,023.40x = 64,263,566,437.98
  5. Step 5: Solve for x
    x = 64,263,566,437.98/208,023.40
  6. Step 6: Final answer
    x = 308,924.70

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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.