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Finding the Fourth Proportional to 384,760.20, 577,140.30 and 243,042.60

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Solution

The fourth proportional to 384,760.20, 577,140.30 and 243,042.60 is: 364,563.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,760.20 : 577,140.30 = 243,042.60 : x
  2. Step 2: Convert to fraction form
    384,760.20/577,140.30 = 243,042.60/x
  3. Step 3: Cross multiply
    384,760.20x = 577,140.30 × 243,042.60
  4. Step 4: Simplify right side
    384,760.20x = 140,269,679,076.78
  5. Step 5: Solve for x
    x = 140,269,679,076.78/384,760.20
  6. Step 6: Final answer
    x = 364,563.90

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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.