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Finding the Fourth Proportional to 384,135.40, 576,203.10 and 162,490.60

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Solution

The fourth proportional to 384,135.40, 576,203.10 and 162,490.60 is: 243,735.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,135.40 : 576,203.10 = 162,490.60 : x
  2. Step 2: Convert to fraction form
    384,135.40/576,203.10 = 162,490.60/x
  3. Step 3: Cross multiply
    384,135.40x = 576,203.10 × 162,490.60
  4. Step 4: Simplify right side
    384,135.40x = 93,627,587,440.86
  5. Step 5: Solve for x
    x = 93,627,587,440.86/384,135.40
  6. Step 6: Final answer
    x = 243,735.90

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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.