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Finding the Fourth Proportional to 385,399.20, 578,077.20 and 119,157.60

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Solution

The fourth proportional to 385,399.20, 578,077.20 and 119,157.60 is: 178,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,399.20 : 578,077.20 = 119,157.60 : x
  2. Step 2: Convert to fraction form
    385,399.20/578,077.20 = 119,157.60/x
  3. Step 3: Cross multiply
    385,399.20x = 578,077.20 × 119,157.60
  4. Step 4: Simplify right side
    385,399.20x = 68,882,291,766.72
  5. Step 5: Solve for x
    x = 68,882,291,766.72/385,399.20
  6. Step 6: Final answer
    x = 178,729.72

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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.