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Finding the Fourth Proportional to 311,612.09, 430,057.73 and 182,658.89

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Solution

The fourth proportional to 311,612.09, 430,057.73 and 182,658.89 is: 252,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,612.09 : 430,057.73 = 182,658.89 : x
  2. Step 2: Convert to fraction form
    311,612.09/430,057.73 = 182,658.89/x
  3. Step 3: Cross multiply
    311,612.09x = 430,057.73 × 182,658.89
  4. Step 4: Simplify right side
    311,612.09x = 78,553,864,534.14
  5. Step 5: Solve for x
    x = 78,553,864,534.14/311,612.09
  6. Step 6: Final answer
    x = 252,088.63

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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.