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Finding the Fourth Proportional to 405,211.64, 607,843.40 and 155,893.64

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Solution

The fourth proportional to 405,211.64, 607,843.40 and 155,893.64 is: 233,850.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,211.64 : 607,843.40 = 155,893.64 : x
  2. Step 2: Convert to fraction form
    405,211.64/607,843.40 = 155,893.64/x
  3. Step 3: Cross multiply
    405,211.64x = 607,843.40 × 155,893.64
  4. Step 4: Simplify right side
    405,211.64x = 94,758,920,175.98
  5. Step 5: Solve for x
    x = 94,758,920,175.98/405,211.64
  6. Step 6: Final answer
    x = 233,850.44

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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.