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Finding the Fourth Proportional to 496,172.08, 684,702.84 and 281,331.76

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Solution

The fourth proportional to 496,172.08, 684,702.84 and 281,331.76 is: 388,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,172.08 : 684,702.84 = 281,331.76 : x
  2. Step 2: Convert to fraction form
    496,172.08/684,702.84 = 281,331.76/x
  3. Step 3: Cross multiply
    496,172.08x = 684,702.84 × 281,331.76
  4. Step 4: Simplify right side
    496,172.08x = 192,628,655,054.20
  5. Step 5: Solve for x
    x = 192,628,655,054.20/496,172.08
  6. Step 6: Final answer
    x = 388,229.53

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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.