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Finding the Fourth Proportional to 412,491.96, 618,740.67 and 159,800.51

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Solution

The fourth proportional to 412,491.96, 618,740.67 and 159,800.51 is: 239,701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,491.96 : 618,740.67 = 159,800.51 : x
  2. Step 2: Convert to fraction form
    412,491.96/618,740.67 = 159,800.51/x
  3. Step 3: Cross multiply
    412,491.96x = 618,740.67 × 159,800.51
  4. Step 4: Simplify right side
    412,491.96x = 98,875,076,769.85
  5. Step 5: Solve for x
    x = 98,875,076,769.85/412,491.96
  6. Step 6: Final answer
    x = 239,701.83

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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.