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Finding the Fourth Proportional to 500,403.86, 690,606.58 and 285,576.22

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Solution

The fourth proportional to 500,403.86, 690,606.58 and 285,576.22 is: 394,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,403.86 : 690,606.58 = 285,576.22 : x
  2. Step 2: Convert to fraction form
    500,403.86/690,606.58 = 285,576.22/x
  3. Step 3: Cross multiply
    500,403.86x = 690,606.58 × 285,576.22
  4. Step 4: Simplify right side
    500,403.86x = 197,220,816,623.53
  5. Step 5: Solve for x
    x = 197,220,816,623.53/500,403.86
  6. Step 6: Final answer
    x = 394,123.29

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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.