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Finding the Fourth Proportional to 509,423.13, 703,019.75 and 279,976.28

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Solution

The fourth proportional to 509,423.13, 703,019.75 and 279,976.28 is: 386,375.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,423.13 : 703,019.75 = 279,976.28 : x
  2. Step 2: Convert to fraction form
    509,423.13/703,019.75 = 279,976.28/x
  3. Step 3: Cross multiply
    509,423.13x = 703,019.75 × 279,976.28
  4. Step 4: Simplify right side
    509,423.13x = 196,828,849,456.55
  5. Step 5: Solve for x
    x = 196,828,849,456.55/509,423.13
  6. Step 6: Final answer
    x = 386,375.96

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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.