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Finding the Fourth Proportional to 270,211.19, 405,570.71 and 137,186.91

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Solution

The fourth proportional to 270,211.19, 405,570.71 and 137,186.91 is: 205,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,211.19 : 405,570.71 = 137,186.91 : x
  2. Step 2: Convert to fraction form
    270,211.19/405,570.71 = 137,186.91/x
  3. Step 3: Cross multiply
    270,211.19x = 405,570.71 × 137,186.91
  4. Step 4: Simplify right side
    270,211.19x = 55,638,992,834.37
  5. Step 5: Solve for x
    x = 55,638,992,834.37/270,211.19
  6. Step 6: Final answer
    x = 205,909.29

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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.