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Finding the Fourth Proportional to 311,612.67, 430,013.00 and 175,674.83

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Solution

The fourth proportional to 311,612.67, 430,013.00 and 175,674.83 is: 242,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,612.67 : 430,013.00 = 175,674.83 : x
  2. Step 2: Convert to fraction form
    311,612.67/430,013.00 = 175,674.83/x
  3. Step 3: Cross multiply
    311,612.67x = 430,013.00 × 175,674.83
  4. Step 4: Simplify right side
    311,612.67x = 75,542,458,961.91
  5. Step 5: Solve for x
    x = 75,542,458,961.91/311,612.67
  6. Step 6: Final answer
    x = 242,424.22

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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.