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Finding the Fourth Proportional to 500,431.74, 690,602.67 and 274,078.86

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Solution

The fourth proportional to 500,431.74, 690,602.67 and 274,078.86 is: 378,232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,431.74 : 690,602.67 = 274,078.86 : x
  2. Step 2: Convert to fraction form
    500,431.74/690,602.67 = 274,078.86/x
  3. Step 3: Cross multiply
    500,431.74x = 690,602.67 × 274,078.86
  4. Step 4: Simplify right side
    500,431.74x = 189,279,592,506.56
  5. Step 5: Solve for x
    x = 189,279,592,506.56/500,431.74
  6. Step 6: Final answer
    x = 378,232.59

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1.5x scale

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.