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Finding the Fourth Proportional to 539,423.50, 809,174.14 and 206,999.50

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Solution

The fourth proportional to 539,423.50, 809,174.14 and 206,999.50 is: 310,514.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,423.50 : 809,174.14 = 206,999.50 : x
  2. Step 2: Convert to fraction form
    539,423.50/809,174.14 = 206,999.50/x
  3. Step 3: Cross multiply
    539,423.50x = 809,174.14 × 206,999.50
  4. Step 4: Simplify right side
    539,423.50x = 167,498,642,392.93
  5. Step 5: Solve for x
    x = 167,498,642,392.93/539,423.50
  6. Step 6: Final answer
    x = 310,514.17

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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.