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Finding the Fourth Proportional to 509,261.72, 702,517.64 and 345,926.64

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Solution

The fourth proportional to 509,261.72, 702,517.64 and 345,926.64 is: 477,199.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,261.72 : 702,517.64 = 345,926.64 : x
  2. Step 2: Convert to fraction form
    509,261.72/702,517.64 = 345,926.64/x
  3. Step 3: Cross multiply
    509,261.72x = 702,517.64 × 345,926.64
  4. Step 4: Simplify right side
    509,261.72x = 243,019,566,745.93
  5. Step 5: Solve for x
    x = 243,019,566,745.93/509,261.72
  6. Step 6: Final answer
    x = 477,199.75

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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.