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Finding the Fourth Proportional to 399,270.40, 598,905.60 and 199,621.60

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Solution

The fourth proportional to 399,270.40, 598,905.60 and 199,621.60 is: 299,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,270.40 : 598,905.60 = 199,621.60 : x
  2. Step 2: Convert to fraction form
    399,270.40/598,905.60 = 199,621.60/x
  3. Step 3: Cross multiply
    399,270.40x = 598,905.60 × 199,621.60
  4. Step 4: Simplify right side
    399,270.40x = 119,554,494,120.96
  5. Step 5: Solve for x
    x = 119,554,494,120.96/399,270.40
  6. Step 6: Final answer
    x = 299,432.40

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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.