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Finding the Fourth Proportional to 613,139.76, 919,896.90 and 313,832.40

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Solution

The fourth proportional to 613,139.76, 919,896.90 and 313,832.40 is: 470,844.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,139.76 : 919,896.90 = 313,832.40 : x
  2. Step 2: Convert to fraction form
    613,139.76/919,896.90 = 313,832.40/x
  3. Step 3: Cross multiply
    613,139.76x = 919,896.90 × 313,832.40
  4. Step 4: Simplify right side
    613,139.76x = 288,693,451,879.56
  5. Step 5: Solve for x
    x = 288,693,451,879.56/613,139.76
  6. Step 6: Final answer
    x = 470,844.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.