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Finding the Fourth Proportional to 307,047.73, 423,728.71 and 169,231.57

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Solution

The fourth proportional to 307,047.73, 423,728.71 and 169,231.57 is: 233,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,047.73 : 423,728.71 = 169,231.57 : x
  2. Step 2: Convert to fraction form
    307,047.73/423,728.71 = 169,231.57/x
  3. Step 3: Cross multiply
    307,047.73x = 423,728.71 × 169,231.57
  4. Step 4: Simplify right side
    307,047.73x = 71,708,274,316.90
  5. Step 5: Solve for x
    x = 71,708,274,316.90/307,047.73
  6. Step 6: Final answer
    x = 233,541.13

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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.