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Finding the Fourth Proportional to 407,693.56, 611,480.94 and 108,192.28

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Solution

The fourth proportional to 407,693.56, 611,480.94 and 108,192.28 is: 162,272.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,693.56 : 611,480.94 = 108,192.28 : x
  2. Step 2: Convert to fraction form
    407,693.56/611,480.94 = 108,192.28/x
  3. Step 3: Cross multiply
    407,693.56x = 611,480.94 × 108,192.28
  4. Step 4: Simplify right side
    407,693.56x = 66,157,517,075.14
  5. Step 5: Solve for x
    x = 66,157,517,075.14/407,693.56
  6. Step 6: Final answer
    x = 162,272.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.