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Finding the Fourth Proportional to 406,131.58, 609,756.41 and 206,587

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Solution

The fourth proportional to 406,131.58, 609,756.41 and 206,587 is: 310,164.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,131.58 : 609,756.41 = 206,587 : x
  2. Step 2: Convert to fraction form
    406,131.58/609,756.41 = 206,587/x
  3. Step 3: Cross multiply
    406,131.58x = 609,756.41 × 206,587
  4. Step 4: Simplify right side
    406,131.58x = 125,967,747,472.67
  5. Step 5: Solve for x
    x = 125,967,747,472.67/406,131.58
  6. Step 6: Final answer
    x = 310,164.87

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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.