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Finding the Fourth Proportional to 409,436.44, 614,176.66 and 128,975.64

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Solution

The fourth proportional to 409,436.44, 614,176.66 and 128,975.64 is: 193,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,436.44 : 614,176.66 = 128,975.64 : x
  2. Step 2: Convert to fraction form
    409,436.44/614,176.66 = 128,975.64/x
  3. Step 3: Cross multiply
    409,436.44x = 614,176.66 × 128,975.64
  4. Step 4: Simplify right side
    409,436.44x = 79,213,827,796.56
  5. Step 5: Solve for x
    x = 79,213,827,796.56/409,436.44
  6. Step 6: Final answer
    x = 193,470.39

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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.