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Finding the Fourth Proportional to 500,535.90, 690,750.69 and 285,671.64

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Solution

The fourth proportional to 500,535.90, 690,750.69 and 285,671.64 is: 394,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,535.90 : 690,750.69 = 285,671.64 : x
  2. Step 2: Convert to fraction form
    500,535.90/690,750.69 = 285,671.64/x
  3. Step 3: Cross multiply
    500,535.90x = 690,750.69 × 285,671.64
  4. Step 4: Simplify right side
    500,535.90x = 197,327,882,443.43
  5. Step 5: Solve for x
    x = 197,327,882,443.43/500,535.90
  6. Step 6: Final answer
    x = 394,233.23

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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.