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Finding the Fourth Proportional to 491,294.09, 678,005.74 and 273,511.69

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Solution

The fourth proportional to 491,294.09, 678,005.74 and 273,511.69 is: 377,457.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,294.09 : 678,005.74 = 273,511.69 : x
  2. Step 2: Convert to fraction form
    491,294.09/678,005.74 = 273,511.69/x
  3. Step 3: Cross multiply
    491,294.09x = 678,005.74 × 273,511.69
  4. Step 4: Simplify right side
    491,294.09x = 185,442,494,423.98
  5. Step 5: Solve for x
    x = 185,442,494,423.98/491,294.09
  6. Step 6: Final answer
    x = 377,457.20

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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.