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Finding the Fourth Proportional to 491,748.16, 678,678.40 and 287,861.44

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Solution

The fourth proportional to 491,748.16, 678,678.40 and 287,861.44 is: 397,287.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,748.16 : 678,678.40 = 287,861.44 : x
  2. Step 2: Convert to fraction form
    491,748.16/678,678.40 = 287,861.44/x
  3. Step 3: Cross multiply
    491,748.16x = 678,678.40 × 287,861.44
  4. Step 4: Simplify right side
    491,748.16x = 195,365,341,520.90
  5. Step 5: Solve for x
    x = 195,365,341,520.90/491,748.16
  6. Step 6: Final answer
    x = 397,287.39

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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.