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Finding the Fourth Proportional to 312,428.48, 431,149.64 and 169,187.27

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Solution

The fourth proportional to 312,428.48, 431,149.64 and 169,187.27 is: 233,477.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,428.48 : 431,149.64 = 169,187.27 : x
  2. Step 2: Convert to fraction form
    312,428.48/431,149.64 = 169,187.27/x
  3. Step 3: Cross multiply
    312,428.48x = 431,149.64 × 169,187.27
  4. Step 4: Simplify right side
    312,428.48x = 72,945,027,551.40
  5. Step 5: Solve for x
    x = 72,945,027,551.40/312,428.48
  6. Step 6: Final answer
    x = 233,477.53

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1.5x scale

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.