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Finding the Fourth Proportional to 402,694.28, 555,729.78 and 232,981.64

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Solution

The fourth proportional to 402,694.28, 555,729.78 and 232,981.64 is: 321,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,694.28 : 555,729.78 = 232,981.64 : x
  2. Step 2: Convert to fraction form
    402,694.28/555,729.78 = 232,981.64/x
  3. Step 3: Cross multiply
    402,694.28x = 555,729.78 × 232,981.64
  4. Step 4: Simplify right side
    402,694.28x = 129,474,835,541.24
  5. Step 5: Solve for x
    x = 129,474,835,541.24/402,694.28
  6. Step 6: Final answer
    x = 321,521.42

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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.