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Finding the Fourth Proportional to 500,447.48, 690,472.84 and 282,644.60

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Solution

The fourth proportional to 500,447.48, 690,472.84 and 282,644.60 is: 389,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,447.48 : 690,472.84 = 282,644.60 : x
  2. Step 2: Convert to fraction form
    500,447.48/690,472.84 = 282,644.60/x
  3. Step 3: Cross multiply
    500,447.48x = 690,472.84 × 282,644.60
  4. Step 4: Simplify right side
    500,447.48x = 195,158,419,672.66
  5. Step 5: Solve for x
    x = 195,158,419,672.66/500,447.48
  6. Step 6: Final answer
    x = 389,967.83

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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.