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Finding the Fourth Proportional to 642,249.20, 963,373.80 and 193,039.40

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Solution

The fourth proportional to 642,249.20, 963,373.80 and 193,039.40 is: 289,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,249.20 : 963,373.80 = 193,039.40 : x
  2. Step 2: Convert to fraction form
    642,249.20/963,373.80 = 193,039.40/x
  3. Step 3: Cross multiply
    642,249.20x = 963,373.80 × 193,039.40
  4. Step 4: Simplify right side
    642,249.20x = 185,969,100,327.72
  5. Step 5: Solve for x
    x = 185,969,100,327.72/642,249.20
  6. Step 6: Final answer
    x = 289,559.10

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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.