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Finding the Fourth Proportional to 564,213.87, 778,669.83 and 322,450.23

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Solution

The fourth proportional to 564,213.87, 778,669.83 and 322,450.23 is: 445,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,213.87 : 778,669.83 = 322,450.23 : x
  2. Step 2: Convert to fraction form
    564,213.87/778,669.83 = 322,450.23/x
  3. Step 3: Cross multiply
    564,213.87x = 778,669.83 × 322,450.23
  4. Step 4: Simplify right side
    564,213.87x = 251,082,265,777.56
  5. Step 5: Solve for x
    x = 251,082,265,777.56/564,213.87
  6. Step 6: Final answer
    x = 445,012.57

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1.5x scale

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.