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Finding the Fourth Proportional to 431,999.10, 647,998.65 and 243,042.30

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Solution

The fourth proportional to 431,999.10, 647,998.65 and 243,042.30 is: 364,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,999.10 : 647,998.65 = 243,042.30 : x
  2. Step 2: Convert to fraction form
    431,999.10/647,998.65 = 243,042.30/x
  3. Step 3: Cross multiply
    431,999.10x = 647,998.65 × 243,042.30
  4. Step 4: Simplify right side
    431,999.10x = 157,491,082,292.90
  5. Step 5: Solve for x
    x = 157,491,082,292.90/431,999.10
  6. Step 6: Final answer
    x = 364,563.45

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1.5x scale

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.