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Finding the Fourth Proportional to 509,825.38, 764,840.16 and 285,504.82

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Solution

The fourth proportional to 509,825.38, 764,840.16 and 285,504.82 is: 428,314.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,825.38 : 764,840.16 = 285,504.82 : x
  2. Step 2: Convert to fraction form
    509,825.38/764,840.16 = 285,504.82/x
  3. Step 3: Cross multiply
    509,825.38x = 764,840.16 × 285,504.82
  4. Step 4: Simplify right side
    509,825.38x = 218,365,552,209.57
  5. Step 5: Solve for x
    x = 218,365,552,209.57/509,825.38
  6. Step 6: Final answer
    x = 428,314.40

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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.