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Finding the Fourth Proportional to 535,893.75, 739,381.86 and 345,017.64

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Solution

The fourth proportional to 535,893.75, 739,381.86 and 345,017.64 is: 476,026.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,893.75 : 739,381.86 = 345,017.64 : x
  2. Step 2: Convert to fraction form
    535,893.75/739,381.86 = 345,017.64/x
  3. Step 3: Cross multiply
    535,893.75x = 739,381.86 × 345,017.64
  4. Step 4: Simplify right side
    535,893.75x = 255,099,784,396.01
  5. Step 5: Solve for x
    x = 255,099,784,396.01/535,893.75
  6. Step 6: Final answer
    x = 476,026.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.