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Finding the Fourth Proportional to 491,701.98, 678,579.99 and 298,128.24

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Solution

The fourth proportional to 491,701.98, 678,579.99 and 298,128.24 is: 411,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,701.98 : 678,579.99 = 298,128.24 : x
  2. Step 2: Convert to fraction form
    491,701.98/678,579.99 = 298,128.24/x
  3. Step 3: Cross multiply
    491,701.98x = 678,579.99 × 298,128.24
  4. Step 4: Simplify right side
    491,701.98x = 202,303,858,117.92
  5. Step 5: Solve for x
    x = 202,303,858,117.92/491,701.98
  6. Step 6: Final answer
    x = 411,435.92

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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.