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Finding the Fourth Proportional to 509,647.99, 764,476.59 and 154,662

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Solution

The fourth proportional to 509,647.99, 764,476.59 and 154,662 is: 231,994.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,647.99 : 764,476.59 = 154,662 : x
  2. Step 2: Convert to fraction form
    509,647.99/764,476.59 = 154,662/x
  3. Step 3: Cross multiply
    509,647.99x = 764,476.59 × 154,662
  4. Step 4: Simplify right side
    509,647.99x = 118,235,478,362.58
  5. Step 5: Solve for x
    x = 118,235,478,362.58/509,647.99
  6. Step 6: Final answer
    x = 231,994.40

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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.