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Finding the Fourth Proportional to 500,408.59, 690,613.16 and 285,580.99

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Solution

The fourth proportional to 500,408.59, 690,613.16 and 285,580.99 is: 394,129.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,408.59 : 690,613.16 = 285,580.99 : x
  2. Step 2: Convert to fraction form
    500,408.59/690,613.16 = 285,580.99/x
  3. Step 3: Cross multiply
    500,408.59x = 690,613.16 × 285,580.99
  4. Step 4: Simplify right side
    500,408.59x = 197,225,989,939.83
  5. Step 5: Solve for x
    x = 197,225,989,939.83/500,408.59
  6. Step 6: Final answer
    x = 394,129.90

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