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Finding the Fourth Proportional to 500,765.63, 691,056.63 and 274,406.27

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Solution

The fourth proportional to 500,765.63, 691,056.63 and 274,406.27 is: 378,680.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,765.63 : 691,056.63 = 274,406.27 : x
  2. Step 2: Convert to fraction form
    500,765.63/691,056.63 = 274,406.27/x
  3. Step 3: Cross multiply
    500,765.63x = 691,056.63 × 274,406.27
  4. Step 4: Simplify right side
    500,765.63x = 189,630,268,741.79
  5. Step 5: Solve for x
    x = 189,630,268,741.79/500,765.63
  6. Step 6: Final answer
    x = 378,680.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.