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Finding the Fourth Proportional to 509,895, 764,858.70 and 154,912.10

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Solution

The fourth proportional to 509,895, 764,858.70 and 154,912.10 is: 232,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,895 : 764,858.70 = 154,912.10 : x
  2. Step 2: Convert to fraction form
    509,895/764,858.70 = 154,912.10/x
  3. Step 3: Cross multiply
    509,895x = 764,858.70 × 154,912.10
  4. Step 4: Simplify right side
    509,895x = 118,485,863,595.98
  5. Step 5: Solve for x
    x = 118,485,863,595.98/509,895
  6. Step 6: Final answer
    x = 232,373.06

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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.