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Finding the Fourth Proportional to 564,102.25, 778,457.24 and 305,978.16

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Solution

The fourth proportional to 564,102.25, 778,457.24 and 305,978.16 is: 422,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,102.25 : 778,457.24 = 305,978.16 : x
  2. Step 2: Convert to fraction form
    564,102.25/778,457.24 = 305,978.16/x
  3. Step 3: Cross multiply
    564,102.25x = 778,457.24 × 305,978.16
  4. Step 4: Simplify right side
    564,102.25x = 238,190,910,806.54
  5. Step 5: Solve for x
    x = 238,190,910,806.54/564,102.25
  6. Step 6: Final answer
    x = 422,247.76

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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.