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Finding the Fourth Proportional to 509,370.82, 763,793.67 and 228,647.62

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Solution

The fourth proportional to 509,370.82, 763,793.67 and 228,647.62 is: 342,853.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,370.82 : 763,793.67 = 228,647.62 : x
  2. Step 2: Convert to fraction form
    509,370.82/763,793.67 = 228,647.62/x
  3. Step 3: Cross multiply
    509,370.82x = 763,793.67 × 228,647.62
  4. Step 4: Simplify right side
    509,370.82x = 174,639,604,816.57
  5. Step 5: Solve for x
    x = 174,639,604,816.57/509,370.82
  6. Step 6: Final answer
    x = 342,853.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.