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Finding the Fourth Proportional to 311,902.96, 430,426.23 and 168,663.10

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Solution

The fourth proportional to 311,902.96, 430,426.23 and 168,663.10 is: 232,755.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,902.96 : 430,426.23 = 168,663.10 : x
  2. Step 2: Convert to fraction form
    311,902.96/430,426.23 = 168,663.10/x
  3. Step 3: Cross multiply
    311,902.96x = 430,426.23 × 168,663.10
  4. Step 4: Simplify right side
    311,902.96x = 72,597,022,273.11
  5. Step 5: Solve for x
    x = 72,597,022,273.11/311,902.96
  6. Step 6: Final answer
    x = 232,755.16

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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.