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Finding the Fourth Proportional to 384,006.80, 576,010.20 and 206,859.80

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Solution

The fourth proportional to 384,006.80, 576,010.20 and 206,859.80 is: 310,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,006.80 : 576,010.20 = 206,859.80 : x
  2. Step 2: Convert to fraction form
    384,006.80/576,010.20 = 206,859.80/x
  3. Step 3: Cross multiply
    384,006.80x = 576,010.20 × 206,859.80
  4. Step 4: Simplify right side
    384,006.80x = 119,153,354,769.96
  5. Step 5: Solve for x
    x = 119,153,354,769.96/384,006.80
  6. Step 6: Final answer
    x = 310,289.70

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1.5x scale

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.