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Finding the Fourth Proportional to 509,628.68, 703,288.01 and 280,189.85

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Solution

The fourth proportional to 509,628.68, 703,288.01 and 280,189.85 is: 386,662.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,628.68 : 703,288.01 = 280,189.85 : x
  2. Step 2: Convert to fraction form
    509,628.68/703,288.01 = 280,189.85/x
  3. Step 3: Cross multiply
    509,628.68x = 703,288.01 × 280,189.85
  4. Step 4: Simplify right side
    509,628.68x = 197,054,160,627.75
  5. Step 5: Solve for x
    x = 197,054,160,627.75/509,628.68
  6. Step 6: Final answer
    x = 386,662.23

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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.