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Finding the Fourth Proportional to 362,043.08, 543,461.90 and 287,641.48

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Solution

The fourth proportional to 362,043.08, 543,461.90 and 287,641.48 is: 431,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,043.08 : 543,461.90 = 287,641.48 : x
  2. Step 2: Convert to fraction form
    362,043.08/543,461.90 = 287,641.48/x
  3. Step 3: Cross multiply
    362,043.08x = 543,461.90 × 287,641.48
  4. Step 4: Simplify right side
    362,043.08x = 156,322,185,239.61
  5. Step 5: Solve for x
    x = 156,322,185,239.61/362,043.08
  6. Step 6: Final answer
    x = 431,777.86

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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.