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Finding the Fourth Proportional to 490,086.70, 684,721.70 and 490,086.70

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Solution

The fourth proportional to 490,086.70, 684,721.70 and 490,086.70 is: 684,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,086.70 : 684,721.70 = 490,086.70 : x
  2. Step 2: Convert to fraction form
    490,086.70/684,721.70 = 490,086.70/x
  3. Step 3: Cross multiply
    490,086.70x = 684,721.70 × 490,086.70
  4. Step 4: Simplify right side
    490,086.70x = 335,572,998,371.39
  5. Step 5: Solve for x
    x = 335,572,998,371.39/490,086.70
  6. Step 6: Final answer
    x = 684,721.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.