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Finding the Fourth Proportional to 509,422.35, 703,000.99 and 279,995.12

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Solution

The fourth proportional to 509,422.35, 703,000.99 and 279,995.12 is: 386,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,422.35 : 703,000.99 = 279,995.12 : x
  2. Step 2: Convert to fraction form
    509,422.35/703,000.99 = 279,995.12/x
  3. Step 3: Cross multiply
    509,422.35x = 703,000.99 × 279,995.12
  4. Step 4: Simplify right side
    509,422.35x = 196,836,846,555.17
  5. Step 5: Solve for x
    x = 196,836,846,555.17/509,422.35
  6. Step 6: Final answer
    x = 386,392.25

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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.