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Finding the Fourth Proportional to 456,730.80, 684,112.05 and 377,998.80

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Solution

The fourth proportional to 456,730.80, 684,112.05 and 377,998.80 is: 566,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,730.80 : 684,112.05 = 377,998.80 : x
  2. Step 2: Convert to fraction form
    456,730.80/684,112.05 = 377,998.80/x
  3. Step 3: Cross multiply
    456,730.80x = 684,112.05 × 377,998.80
  4. Step 4: Simplify right side
    456,730.80x = 258,593,533,965.54
  5. Step 5: Solve for x
    x = 258,593,533,965.54/456,730.80
  6. Step 6: Final answer
    x = 566,183.70

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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.