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Finding the Fourth Proportional to 311,836.06, 430,333.65 and 168,596.06

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Solution

The fourth proportional to 311,836.06, 430,333.65 and 168,596.06 is: 232,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,836.06 : 430,333.65 = 168,596.06 : x
  2. Step 2: Convert to fraction form
    311,836.06/430,333.65 = 168,596.06/x
  3. Step 3: Cross multiply
    311,836.06x = 430,333.65 × 168,596.06
  4. Step 4: Simplify right side
    311,836.06x = 72,552,557,875.42
  5. Step 5: Solve for x
    x = 72,552,557,875.42/311,836.06
  6. Step 6: Final answer
    x = 232,662.50

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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.