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Finding the Fourth Proportional to 509,822.88, 764,836.41 and 285,502.32

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Solution

The fourth proportional to 509,822.88, 764,836.41 and 285,502.32 is: 428,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,822.88 : 764,836.41 = 285,502.32 : x
  2. Step 2: Convert to fraction form
    509,822.88/764,836.41 = 285,502.32/x
  3. Step 3: Cross multiply
    509,822.88x = 764,836.41 × 285,502.32
  4. Step 4: Simplify right side
    509,822.88x = 218,362,569,475.47
  5. Step 5: Solve for x
    x = 218,362,569,475.47/509,822.88
  6. Step 6: Final answer
    x = 428,310.65

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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.