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Finding the Fourth Proportional to 509,766.76, 764,600.64 and 154,783.81

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Solution

The fourth proportional to 509,766.76, 764,600.64 and 154,783.81 is: 232,160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,766.76 : 764,600.64 = 154,783.81 : x
  2. Step 2: Convert to fraction form
    509,766.76/764,600.64 = 154,783.81/x
  3. Step 3: Cross multiply
    509,766.76x = 764,600.64 × 154,783.81
  4. Step 4: Simplify right side
    509,766.76x = 118,347,800,187.64
  5. Step 5: Solve for x
    x = 118,347,800,187.64/509,766.76
  6. Step 6: Final answer
    x = 232,160.68

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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.