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Finding the Fourth Proportional to 564,832.36, 779,474.16 and 310,189

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Solution

The fourth proportional to 564,832.36, 779,474.16 and 310,189 is: 428,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,832.36 : 779,474.16 = 310,189 : x
  2. Step 2: Convert to fraction form
    564,832.36/779,474.16 = 310,189/x
  3. Step 3: Cross multiply
    564,832.36x = 779,474.16 × 310,189
  4. Step 4: Simplify right side
    564,832.36x = 241,784,310,216.24
  5. Step 5: Solve for x
    x = 241,784,310,216.24/564,832.36
  6. Step 6: Final answer
    x = 428,063.84

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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.