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Finding the Fourth Proportional to 654,286.25, 902,855.45 and 378,596.45

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Solution

The fourth proportional to 654,286.25, 902,855.45 and 378,596.45 is: 522,428.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,286.25 : 902,855.45 = 378,596.45 : x
  2. Step 2: Convert to fraction form
    654,286.25/902,855.45 = 378,596.45/x
  3. Step 3: Cross multiply
    654,286.25x = 902,855.45 × 378,596.45
  4. Step 4: Simplify right side
    654,286.25x = 341,817,861,825.89
  5. Step 5: Solve for x
    x = 341,817,861,825.89/654,286.25
  6. Step 6: Final answer
    x = 522,428.62

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1.5x scale

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.