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Finding the Fourth Proportional to 491,439.30, 678,395.46 and 330,387.78

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Solution

The fourth proportional to 491,439.30, 678,395.46 and 330,387.78 is: 456,075.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,439.30 : 678,395.46 = 330,387.78 : x
  2. Step 2: Convert to fraction form
    491,439.30/678,395.46 = 330,387.78/x
  3. Step 3: Cross multiply
    491,439.30x = 678,395.46 × 330,387.78
  4. Step 4: Simplify right side
    491,439.30x = 224,133,569,991.48
  5. Step 5: Solve for x
    x = 224,133,569,991.48/491,439.30
  6. Step 6: Final answer
    x = 456,075.80

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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.