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Finding the Fourth Proportional to 311,844.50, 430,346.61 and 174,029.30

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Solution

The fourth proportional to 311,844.50, 430,346.61 and 174,029.30 is: 240,161.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,844.50 : 430,346.61 = 174,029.30 : x
  2. Step 2: Convert to fraction form
    311,844.50/430,346.61 = 174,029.30/x
  3. Step 3: Cross multiply
    311,844.50x = 430,346.61 × 174,029.30
  4. Step 4: Simplify right side
    311,844.50x = 74,892,919,295.67
  5. Step 5: Solve for x
    x = 74,892,919,295.67/311,844.50
  6. Step 6: Final answer
    x = 240,161.10

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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.