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Finding the Fourth Proportional to 509,549.46, 764,238.87 and 154,478.58

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Solution

The fourth proportional to 509,549.46, 764,238.87 and 154,478.58 is: 231,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,549.46 : 764,238.87 = 154,478.58 : x
  2. Step 2: Convert to fraction form
    509,549.46/764,238.87 = 154,478.58/x
  3. Step 3: Cross multiply
    509,549.46x = 764,238.87 × 154,478.58
  4. Step 4: Simplify right side
    509,549.46x = 118,058,535,418.41
  5. Step 5: Solve for x
    x = 118,058,535,418.41/509,549.46
  6. Step 6: Final answer
    x = 231,692.00

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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.