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Finding the Fourth Proportional to 500,432.53, 690,765.32 and 304,198.34

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Solution

The fourth proportional to 500,432.53, 690,765.32 and 304,198.34 is: 419,896.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,432.53 : 690,765.32 = 304,198.34 : x
  2. Step 2: Convert to fraction form
    500,432.53/690,765.32 = 304,198.34/x
  3. Step 3: Cross multiply
    500,432.53x = 690,765.32 × 304,198.34
  4. Step 4: Simplify right side
    500,432.53x = 210,129,659,269.12
  5. Step 5: Solve for x
    x = 210,129,659,269.12/500,432.53
  6. Step 6: Final answer
    x = 419,896.08

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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.