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Finding the Fourth Proportional to 254,235.84, 381,356.46 and 76,744.32

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Solution

The fourth proportional to 254,235.84, 381,356.46 and 76,744.32 is: 115,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,235.84 : 381,356.46 = 76,744.32 : x
  2. Step 2: Convert to fraction form
    254,235.84/381,356.46 = 76,744.32/x
  3. Step 3: Cross multiply
    254,235.84x = 381,356.46 × 76,744.32
  4. Step 4: Simplify right side
    254,235.84x = 29,266,942,200.31
  5. Step 5: Solve for x
    x = 29,266,942,200.31/254,235.84
  6. Step 6: Final answer
    x = 115,117.30

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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.