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Finding the Fourth Proportional to 312,896.04, 431,796.08 and 169,655.84

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Solution

The fourth proportional to 312,896.04, 431,796.08 and 169,655.84 is: 234,124.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,896.04 : 431,796.08 = 169,655.84 : x
  2. Step 2: Convert to fraction form
    312,896.04/431,796.08 = 169,655.84/x
  3. Step 3: Cross multiply
    312,896.04x = 431,796.08 × 169,655.84
  4. Step 4: Simplify right side
    312,896.04x = 73,256,726,661.11
  5. Step 5: Solve for x
    x = 73,256,726,661.11/312,896.04
  6. Step 6: Final answer
    x = 234,124.81

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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.