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Finding the Fourth Proportional to 564,813, 779,441.94 and 310,168.44

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Solution

The fourth proportional to 564,813, 779,441.94 and 310,168.44 is: 428,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,813 : 779,441.94 = 310,168.44 : x
  2. Step 2: Convert to fraction form
    564,813/779,441.94 = 310,168.44/x
  3. Step 3: Cross multiply
    564,813x = 779,441.94 × 310,168.44
  4. Step 4: Simplify right side
    564,813x = 241,758,290,600.37
  5. Step 5: Solve for x
    x = 241,758,290,600.37/564,813
  6. Step 6: Final answer
    x = 428,032.45

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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.