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Finding the Fourth Proportional to 206,030.60, 308,657.10 and 192,033.80

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Solution

The fourth proportional to 206,030.60, 308,657.10 and 192,033.80 is: 287,688.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,030.60 : 308,657.10 = 192,033.80 : x
  2. Step 2: Convert to fraction form
    206,030.60/308,657.10 = 192,033.80/x
  3. Step 3: Cross multiply
    206,030.60x = 308,657.10 × 192,033.80
  4. Step 4: Simplify right side
    206,030.60x = 59,272,595,809.98
  5. Step 5: Solve for x
    x = 59,272,595,809.98/206,030.60
  6. Step 6: Final answer
    x = 287,688.31

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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.