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Finding the Fourth Proportional to 311,902.11, 430,424.91 and 168,662.16

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Solution

The fourth proportional to 311,902.11, 430,424.91 and 168,662.16 is: 232,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,902.11 : 430,424.91 = 168,662.16 : x
  2. Step 2: Convert to fraction form
    311,902.11/430,424.91 = 168,662.16/x
  3. Step 3: Cross multiply
    311,902.11x = 430,424.91 × 168,662.16
  4. Step 4: Simplify right side
    311,902.11x = 72,596,395,038.41
  5. Step 5: Solve for x
    x = 72,596,395,038.41/311,902.11
  6. Step 6: Final answer
    x = 232,753.78

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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.