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Finding the Fourth Proportional to 406,714.35, 609,665.49 and 140,304.93

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Solution

The fourth proportional to 406,714.35, 609,665.49 and 140,304.93 is: 210,317.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,714.35 : 609,665.49 = 140,304.93 : x
  2. Step 2: Convert to fraction form
    406,714.35/609,665.49 = 140,304.93/x
  3. Step 3: Cross multiply
    406,714.35x = 609,665.49 × 140,304.93
  4. Step 4: Simplify right side
    406,714.35x = 85,539,073,897.87
  5. Step 5: Solve for x
    x = 85,539,073,897.87/406,714.35
  6. Step 6: Final answer
    x = 210,317.32

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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.