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Finding the Fourth Proportional to 509,906.40, 764,909.58 and 185,782.62

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Solution

The fourth proportional to 509,906.40, 764,909.58 and 185,782.62 is: 278,692.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,906.40 : 764,909.58 = 185,782.62 : x
  2. Step 2: Convert to fraction form
    509,906.40/764,909.58 = 185,782.62/x
  3. Step 3: Cross multiply
    509,906.40x = 764,909.58 × 185,782.62
  4. Step 4: Simplify right side
    509,906.40x = 142,106,905,835.50
  5. Step 5: Solve for x
    x = 142,106,905,835.50/509,906.40
  6. Step 6: Final answer
    x = 278,692.14

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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.