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Finding the Fourth Proportional to 503,300, 755,066.64 and 170,876

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Solution

The fourth proportional to 503,300, 755,066.64 and 170,876 is: 256,353.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,300 : 755,066.64 = 170,876 : x
  2. Step 2: Convert to fraction form
    503,300/755,066.64 = 170,876/x
  3. Step 3: Cross multiply
    503,300x = 755,066.64 × 170,876
  4. Step 4: Simplify right side
    503,300x = 129,022,767,176.64
  5. Step 5: Solve for x
    x = 129,022,767,176.64/503,300
  6. Step 6: Final answer
    x = 256,353.60

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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.