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Finding the Fourth Proportional to 500,483.86, 690,659.94 and 285,618.40

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Solution

The fourth proportional to 500,483.86, 690,659.94 and 285,618.40 is: 394,148.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,483.86 : 690,659.94 = 285,618.40 : x
  2. Step 2: Convert to fraction form
    500,483.86/690,659.94 = 285,618.40/x
  3. Step 3: Cross multiply
    500,483.86x = 690,659.94 × 285,618.40
  4. Step 4: Simplify right side
    500,483.86x = 197,265,187,006.90
  5. Step 5: Solve for x
    x = 197,265,187,006.90/500,483.86
  6. Step 6: Final answer
    x = 394,148.95

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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.