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Finding the Fourth Proportional to 491,592.56, 678,410.29 and 276,740.16

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Solution

The fourth proportional to 491,592.56, 678,410.29 and 276,740.16 is: 381,908.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,592.56 : 678,410.29 = 276,740.16 : x
  2. Step 2: Convert to fraction form
    491,592.56/678,410.29 = 276,740.16/x
  3. Step 3: Cross multiply
    491,592.56x = 678,410.29 × 276,740.16
  4. Step 4: Simplify right side
    491,592.56x = 187,743,370,816.55
  5. Step 5: Solve for x
    x = 187,743,370,816.55/491,592.56
  6. Step 6: Final answer
    x = 381,908.49

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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.