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Finding the Fourth Proportional to 509,441.50, 764,278.89 and 177,017.50

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Solution

The fourth proportional to 509,441.50, 764,278.89 and 177,017.50 is: 265,566.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,441.50 : 764,278.89 = 177,017.50 : x
  2. Step 2: Convert to fraction form
    509,441.50/764,278.89 = 177,017.50/x
  3. Step 3: Cross multiply
    509,441.50x = 764,278.89 × 177,017.50
  4. Step 4: Simplify right side
    509,441.50x = 135,290,738,410.58
  5. Step 5: Solve for x
    x = 135,290,738,410.58/509,441.50
  6. Step 6: Final answer
    x = 265,566.78

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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.