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Finding the Fourth Proportional to 405,084.96, 608,008.80 and 205,548.60

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Solution

The fourth proportional to 405,084.96, 608,008.80 and 205,548.60 is: 308,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,084.96 : 608,008.80 = 205,548.60 : x
  2. Step 2: Convert to fraction form
    405,084.96/608,008.80 = 205,548.60/x
  3. Step 3: Cross multiply
    405,084.96x = 608,008.80 × 205,548.60
  4. Step 4: Simplify right side
    405,084.96x = 124,975,357,627.68
  5. Step 5: Solve for x
    x = 124,975,357,627.68/405,084.96
  6. Step 6: Final answer
    x = 308,516.41

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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.