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Finding the Fourth Proportional to 509,487.40, 764,438.69 and 256,840.71

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Solution

The fourth proportional to 509,487.40, 764,438.69 and 256,840.71 is: 385,365.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,487.40 : 764,438.69 = 256,840.71 : x
  2. Step 2: Convert to fraction form
    509,487.40/764,438.69 = 256,840.71/x
  3. Step 3: Cross multiply
    509,487.40x = 764,438.69 × 256,840.71
  4. Step 4: Simplify right side
    509,487.40x = 196,338,975,099.85
  5. Step 5: Solve for x
    x = 196,338,975,099.85/509,487.40
  6. Step 6: Final answer
    x = 385,365.71

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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.