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Finding the Fourth Proportional to 312,600.98, 431,389.77 and 169,361.02

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Solution

The fourth proportional to 312,600.98, 431,389.77 and 169,361.02 is: 233,718.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,600.98 : 431,389.77 = 169,361.02 : x
  2. Step 2: Convert to fraction form
    312,600.98/431,389.77 = 169,361.02/x
  3. Step 3: Cross multiply
    312,600.98x = 431,389.77 × 169,361.02
  4. Step 4: Simplify right side
    312,600.98x = 73,060,611,464.77
  5. Step 5: Solve for x
    x = 73,060,611,464.77/312,600.98
  6. Step 6: Final answer
    x = 233,718.43

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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.