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Finding the Fourth Proportional to 406,373.88, 609,590.06 and 140,130.56

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Solution

The fourth proportional to 406,373.88, 609,590.06 and 140,130.56 is: 210,205.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,373.88 : 609,590.06 = 140,130.56 : x
  2. Step 2: Convert to fraction form
    406,373.88/609,590.06 = 140,130.56/x
  3. Step 3: Cross multiply
    406,373.88x = 609,590.06 × 140,130.56
  4. Step 4: Simplify right side
    406,373.88x = 85,422,192,729.63
  5. Step 5: Solve for x
    x = 85,422,192,729.63/406,373.88
  6. Step 6: Final answer
    x = 210,205.91

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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.