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Finding the Fourth Proportional to 539,189.92, 808,888.56 and 206,740

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Solution

The fourth proportional to 539,189.92, 808,888.56 and 206,740 is: 310,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,189.92 : 808,888.56 = 206,740 : x
  2. Step 2: Convert to fraction form
    539,189.92/808,888.56 = 206,740/x
  3. Step 3: Cross multiply
    539,189.92x = 808,888.56 × 206,740
  4. Step 4: Simplify right side
    539,189.92x = 167,229,620,894.40
  5. Step 5: Solve for x
    x = 167,229,620,894.40/539,189.92
  6. Step 6: Final answer
    x = 310,149.75

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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.