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Finding the Fourth Proportional to 498,618.72, 746,736.03 and 287,616.96

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Solution

The fourth proportional to 498,618.72, 746,736.03 and 287,616.96 is: 430,737.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,618.72 : 746,736.03 = 287,616.96 : x
  2. Step 2: Convert to fraction form
    498,618.72/746,736.03 = 287,616.96/x
  3. Step 3: Cross multiply
    498,618.72x = 746,736.03 × 287,616.96
  4. Step 4: Simplify right side
    498,618.72x = 214,773,946,871.07
  5. Step 5: Solve for x
    x = 214,773,946,871.07/498,618.72
  6. Step 6: Final answer
    x = 430,737.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.