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Finding the Fourth Proportional to 455,732.87, 683,682.32 and 156,243.74

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Solution

The fourth proportional to 455,732.87, 683,682.32 and 156,243.74 is: 234,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,732.87 : 683,682.32 = 156,243.74 : x
  2. Step 2: Convert to fraction form
    455,732.87/683,682.32 = 156,243.74/x
  3. Step 3: Cross multiply
    455,732.87x = 683,682.32 × 156,243.74
  4. Step 4: Simplify right side
    455,732.87x = 106,821,079,620.88
  5. Step 5: Solve for x
    x = 106,821,079,620.88/455,732.87
  6. Step 6: Final answer
    x = 234,394.07

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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.