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Finding the Fourth Proportional to 412,879.50, 619,423.29 and 117,391.50

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Solution

The fourth proportional to 412,879.50, 619,423.29 and 117,391.50 is: 176,116.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,879.50 : 619,423.29 = 117,391.50 : x
  2. Step 2: Convert to fraction form
    412,879.50/619,423.29 = 117,391.50/x
  3. Step 3: Cross multiply
    412,879.50x = 619,423.29 × 117,391.50
  4. Step 4: Simplify right side
    412,879.50x = 72,715,029,148.04
  5. Step 5: Solve for x
    x = 72,715,029,148.04/412,879.50
  6. Step 6: Final answer
    x = 176,116.83

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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.