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Finding the Fourth Proportional to 500,313.62, 690,457.30 and 285,495.54

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Solution

The fourth proportional to 500,313.62, 690,457.30 and 285,495.54 is: 393,997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,313.62 : 690,457.30 = 285,495.54 : x
  2. Step 2: Convert to fraction form
    500,313.62/690,457.30 = 285,495.54/x
  3. Step 3: Cross multiply
    500,313.62x = 690,457.30 × 285,495.54
  4. Step 4: Simplify right side
    500,313.62x = 197,122,479,710.44
  5. Step 5: Solve for x
    x = 197,122,479,710.44/500,313.62
  6. Step 6: Final answer
    x = 393,997.83

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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.