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Finding the Fourth Proportional to 406,266.62, 609,026.74 and 139,963.82

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Solution

The fourth proportional to 406,266.62, 609,026.74 and 139,963.82 is: 209,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,266.62 : 609,026.74 = 139,963.82 : x
  2. Step 2: Convert to fraction form
    406,266.62/609,026.74 = 139,963.82/x
  3. Step 3: Cross multiply
    406,266.62x = 609,026.74 × 139,963.82
  4. Step 4: Simplify right side
    406,266.62x = 85,241,705,617.50
  5. Step 5: Solve for x
    x = 85,241,705,617.50/406,266.62
  6. Step 6: Final answer
    x = 209,817.16

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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.