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Finding the Fourth Proportional to 431,999.40, 647,999.10 and 390,665.10

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Solution

The fourth proportional to 431,999.40, 647,999.10 and 390,665.10 is: 585,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,999.40 : 647,999.10 = 390,665.10 : x
  2. Step 2: Convert to fraction form
    431,999.40/647,999.10 = 390,665.10/x
  3. Step 3: Cross multiply
    431,999.40x = 647,999.10 × 390,665.10
  4. Step 4: Simplify right side
    431,999.40x = 253,150,633,201.41
  5. Step 5: Solve for x
    x = 253,150,633,201.41/431,999.40
  6. Step 6: Final answer
    x = 585,997.65

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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.