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Finding the Fourth Proportional to 613,144.08, 919,903.38 and 313,836.72

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Solution

The fourth proportional to 613,144.08, 919,903.38 and 313,836.72 is: 470,850.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,144.08 : 919,903.38 = 313,836.72 : x
  2. Step 2: Convert to fraction form
    613,144.08/919,903.38 = 313,836.72/x
  3. Step 3: Cross multiply
    613,144.08x = 919,903.38 × 313,836.72
  4. Step 4: Simplify right side
    613,144.08x = 288,699,459,496.11
  5. Step 5: Solve for x
    x = 288,699,459,496.11/613,144.08
  6. Step 6: Final answer
    x = 470,850.93

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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.