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Finding the Fourth Proportional to 642,050.80, 963,469.86 and 287,364.76

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Solution

The fourth proportional to 642,050.80, 963,469.86 and 287,364.76 is: 431,223.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,050.80 : 963,469.86 = 287,364.76 : x
  2. Step 2: Convert to fraction form
    642,050.80/963,469.86 = 287,364.76/x
  3. Step 3: Cross multiply
    642,050.80x = 963,469.86 × 287,364.76
  4. Step 4: Simplify right side
    642,050.80x = 276,867,285,086.13
  5. Step 5: Solve for x
    x = 276,867,285,086.13/642,050.80
  6. Step 6: Final answer
    x = 431,223.33

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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.