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Finding the Fourth Proportional to 509,660.20, 703,270.02 and 280,179.64

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Solution

The fourth proportional to 509,660.20, 703,270.02 and 280,179.64 is: 386,614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,660.20 : 703,270.02 = 280,179.64 : x
  2. Step 2: Convert to fraction form
    509,660.20/703,270.02 = 280,179.64/x
  3. Step 3: Cross multiply
    509,660.20x = 703,270.02 × 280,179.64
  4. Step 4: Simplify right side
    509,660.20x = 197,041,941,026.39
  5. Step 5: Solve for x
    x = 197,041,941,026.39/509,660.20
  6. Step 6: Final answer
    x = 386,614.34

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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.