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Finding the Fourth Proportional to 406,407.88, 609,640.98 and 140,164.48

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Solution

The fourth proportional to 406,407.88, 609,640.98 and 140,164.48 is: 210,256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,407.88 : 609,640.98 = 140,164.48 : x
  2. Step 2: Convert to fraction form
    406,407.88/609,640.98 = 140,164.48/x
  3. Step 3: Cross multiply
    406,407.88x = 609,640.98 × 140,164.48
  4. Step 4: Simplify right side
    406,407.88x = 85,450,010,948.39
  5. Step 5: Solve for x
    x = 85,450,010,948.39/406,407.88
  6. Step 6: Final answer
    x = 210,256.78

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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.