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Finding the Fourth Proportional to 492,845.60, 738,231.60 and 409,901.60

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Solution

The fourth proportional to 492,845.60, 738,231.60 and 409,901.60 is: 613,990.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,845.60 : 738,231.60 = 409,901.60 : x
  2. Step 2: Convert to fraction form
    492,845.60/738,231.60 = 409,901.60/x
  3. Step 3: Cross multiply
    492,845.60x = 738,231.60 × 409,901.60
  4. Step 4: Simplify right side
    492,845.60x = 302,602,314,010.56
  5. Step 5: Solve for x
    x = 302,602,314,010.56/492,845.60
  6. Step 6: Final answer
    x = 613,990.09

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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.