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Finding the Fourth Proportional to 565,356.67, 780,199.81 and 307,238.73

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Solution

The fourth proportional to 565,356.67, 780,199.81 and 307,238.73 is: 423,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,356.67 : 780,199.81 = 307,238.73 : x
  2. Step 2: Convert to fraction form
    565,356.67/780,199.81 = 307,238.73/x
  3. Step 3: Cross multiply
    565,356.67x = 780,199.81 × 307,238.73
  4. Step 4: Simplify right side
    565,356.67x = 239,707,597,553.90
  5. Step 5: Solve for x
    x = 239,707,597,553.90/565,356.67
  6. Step 6: Final answer
    x = 423,993.58

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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.