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Finding the Fourth Proportional to 714,508.56, 985,967.64 and 392,167.44

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Solution

The fourth proportional to 714,508.56, 985,967.64 and 392,167.44 is: 541,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,508.56 : 985,967.64 = 392,167.44 : x
  2. Step 2: Convert to fraction form
    714,508.56/985,967.64 = 392,167.44/x
  3. Step 3: Cross multiply
    714,508.56x = 985,967.64 × 392,167.44
  4. Step 4: Simplify right side
    714,508.56x = 386,664,405,301.64
  5. Step 5: Solve for x
    x = 386,664,405,301.64/714,508.56
  6. Step 6: Final answer
    x = 541,161.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.