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Finding the Fourth Proportional to 510,597.84, 764,983.08 and 285,696.48

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Solution

The fourth proportional to 510,597.84, 764,983.08 and 285,696.48 is: 428,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,597.84 : 764,983.08 = 285,696.48 : x
  2. Step 2: Convert to fraction form
    510,597.84/764,983.08 = 285,696.48/x
  3. Step 3: Cross multiply
    510,597.84x = 764,983.08 × 285,696.48
  4. Step 4: Simplify right side
    510,597.84x = 218,552,973,215.56
  5. Step 5: Solve for x
    x = 218,552,973,215.56/510,597.84
  6. Step 6: Final answer
    x = 428,033.49

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1.5x scale

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.