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Finding the Fourth Proportional to 509,608.42, 764,430 and 135,631.78

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Solution

The fourth proportional to 509,608.42, 764,430 and 135,631.78 is: 203,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,608.42 : 764,430 = 135,631.78 : x
  2. Step 2: Convert to fraction form
    509,608.42/764,430 = 135,631.78/x
  3. Step 3: Cross multiply
    509,608.42x = 764,430 × 135,631.78
  4. Step 4: Simplify right side
    509,608.42x = 103,681,001,585.40
  5. Step 5: Solve for x
    x = 103,681,001,585.40/509,608.42
  6. Step 6: Final answer
    x = 203,452.29

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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.