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Finding the Fourth Proportional to 491,433.55, 678,387.54 and 330,382

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Solution

The fourth proportional to 491,433.55, 678,387.54 and 330,382 is: 456,067.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,433.55 : 678,387.54 = 330,382 : x
  2. Step 2: Convert to fraction form
    491,433.55/678,387.54 = 330,382/x
  3. Step 3: Cross multiply
    491,433.55x = 678,387.54 × 330,382
  4. Step 4: Simplify right side
    491,433.55x = 224,127,032,240.28
  5. Step 5: Solve for x
    x = 224,127,032,240.28/491,433.55
  6. Step 6: Final answer
    x = 456,067.83

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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.