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Finding the Fourth Proportional to 642,735.10, 963,713.85 and 287,682.94

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Solution

The fourth proportional to 642,735.10, 963,713.85 and 287,682.94 is: 431,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,735.10 : 963,713.85 = 287,682.94 : x
  2. Step 2: Convert to fraction form
    642,735.10/963,713.85 = 287,682.94/x
  3. Step 3: Cross multiply
    642,735.10x = 963,713.85 × 287,682.94
  4. Step 4: Simplify right side
    642,735.10x = 277,244,033,686.72
  5. Step 5: Solve for x
    x = 277,244,033,686.72/642,735.10
  6. Step 6: Final answer
    x = 431,350.39

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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.