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Finding the Fourth Proportional to 491,416.68, 678,237.66 and 284,655

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Solution

The fourth proportional to 491,416.68, 678,237.66 and 284,655 is: 392,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,416.68 : 678,237.66 = 284,655 : x
  2. Step 2: Convert to fraction form
    491,416.68/678,237.66 = 284,655/x
  3. Step 3: Cross multiply
    491,416.68x = 678,237.66 × 284,655
  4. Step 4: Simplify right side
    491,416.68x = 193,063,741,107.30
  5. Step 5: Solve for x
    x = 193,063,741,107.30/491,416.68
  6. Step 6: Final answer
    x = 392,871.77

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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.