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Finding the Fourth Proportional to 509,364.83, 764,157.50 and 154,405.62

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Solution

The fourth proportional to 509,364.83, 764,157.50 and 154,405.62 is: 231,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,364.83 : 764,157.50 = 154,405.62 : x
  2. Step 2: Convert to fraction form
    509,364.83/764,157.50 = 154,405.62/x
  3. Step 3: Cross multiply
    509,364.83x = 764,157.50 × 154,405.62
  4. Step 4: Simplify right side
    509,364.83x = 117,990,208,744.36
  5. Step 5: Solve for x
    x = 117,990,208,744.36/509,364.83
  6. Step 6: Final answer
    x = 231,641.85

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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.