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Finding the Fourth Proportional to 642,620.40, 963,757.80 and 193,340.40

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Solution

The fourth proportional to 642,620.40, 963,757.80 and 193,340.40 is: 289,958.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,620.40 : 963,757.80 = 193,340.40 : x
  2. Step 2: Convert to fraction form
    642,620.40/963,757.80 = 193,340.40/x
  3. Step 3: Cross multiply
    642,620.40x = 963,757.80 × 193,340.40
  4. Step 4: Simplify right side
    642,620.40x = 186,333,318,555.12
  5. Step 5: Solve for x
    x = 186,333,318,555.12/642,620.40
  6. Step 6: Final answer
    x = 289,958.61

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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.