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Finding the Fourth Proportional to 491,673.72, 678,509.55 and 287,763.48

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Solution

The fourth proportional to 491,673.72, 678,509.55 and 287,763.48 is: 397,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,673.72 : 678,509.55 = 287,763.48 : x
  2. Step 2: Convert to fraction form
    491,673.72/678,509.55 = 287,763.48/x
  3. Step 3: Cross multiply
    491,673.72x = 678,509.55 × 287,763.48
  4. Step 4: Simplify right side
    491,673.72x = 195,250,269,321.23
  5. Step 5: Solve for x
    x = 195,250,269,321.23/491,673.72
  6. Step 6: Final answer
    x = 397,113.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.