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Finding the Fourth Proportional to 342,006.48, 512,983.80 and 120,234.96

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Solution

The fourth proportional to 342,006.48, 512,983.80 and 120,234.96 is: 180,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,006.48 : 512,983.80 = 120,234.96 : x
  2. Step 2: Convert to fraction form
    342,006.48/512,983.80 = 120,234.96/x
  3. Step 3: Cross multiply
    342,006.48x = 512,983.80 × 120,234.96
  4. Step 4: Simplify right side
    342,006.48x = 61,678,586,673.65
  5. Step 5: Solve for x
    x = 61,678,586,673.65/342,006.48
  6. Step 6: Final answer
    x = 180,343.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.