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Finding the Fourth Proportional to 714,729.52, 986,340.42 and 392,472.64

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Solution

The fourth proportional to 714,729.52, 986,340.42 and 392,472.64 is: 541,619.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,729.52 : 986,340.42 = 392,472.64 : x
  2. Step 2: Convert to fraction form
    714,729.52/986,340.42 = 392,472.64/x
  3. Step 3: Cross multiply
    714,729.52x = 986,340.42 × 392,472.64
  4. Step 4: Simplify right side
    714,729.52x = 387,111,628,576.11
  5. Step 5: Solve for x
    x = 387,111,628,576.11/714,729.52
  6. Step 6: Final answer
    x = 541,619.76

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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.