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Finding the Fourth Proportional to 714,509.56, 985,969.02 and 392,168.44

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Solution

The fourth proportional to 714,509.56, 985,969.02 and 392,168.44 is: 541,162.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,509.56 : 985,969.02 = 392,168.44 : x
  2. Step 2: Convert to fraction form
    714,509.56/985,969.02 = 392,168.44/x
  3. Step 3: Cross multiply
    714,509.56x = 985,969.02 × 392,168.44
  4. Step 4: Simplify right side
    714,509.56x = 386,665,932,461.73
  5. Step 5: Solve for x
    x = 386,665,932,461.73/714,509.56
  6. Step 6: Final answer
    x = 541,162.71

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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.