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Finding the Fourth Proportional to 376,185.76, 563,946.48 and 287,833.68

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Solution

The fourth proportional to 376,185.76, 563,946.48 and 287,833.68 is: 431,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,185.76 : 563,946.48 = 287,833.68 : x
  2. Step 2: Convert to fraction form
    376,185.76/563,946.48 = 287,833.68/x
  3. Step 3: Cross multiply
    376,185.76x = 563,946.48 × 287,833.68
  4. Step 4: Simplify right side
    376,185.76x = 162,322,790,661.45
  5. Step 5: Solve for x
    x = 162,322,790,661.45/376,185.76
  6. Step 6: Final answer
    x = 431,496.37

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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.