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Finding the Fourth Proportional to 509,855.89, 764,094.90 and 194,140.57

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Solution

The fourth proportional to 509,855.89, 764,094.90 and 194,140.57 is: 290,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,855.89 : 764,094.90 = 194,140.57 : x
  2. Step 2: Convert to fraction form
    509,855.89/764,094.90 = 194,140.57/x
  3. Step 3: Cross multiply
    509,855.89x = 764,094.90 × 194,140.57
  4. Step 4: Simplify right side
    509,855.89x = 148,341,819,420.09
  5. Step 5: Solve for x
    x = 148,341,819,420.09/509,855.89
  6. Step 6: Final answer
    x = 290,948.53

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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.