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Finding the Fourth Proportional to 311,903.11, 430,426.29 and 168,663.16

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Solution

The fourth proportional to 311,903.11, 430,426.29 and 168,663.16 is: 232,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,903.11 : 430,426.29 = 168,663.16 : x
  2. Step 2: Convert to fraction form
    311,903.11/430,426.29 = 168,663.16/x
  3. Step 3: Cross multiply
    311,903.11x = 430,426.29 × 168,663.16
  4. Step 4: Simplify right side
    311,903.11x = 72,597,058,218.48
  5. Step 5: Solve for x
    x = 72,597,058,218.48/311,903.11
  6. Step 6: Final answer
    x = 232,755.16

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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.