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Finding the Fourth Proportional to 509,954.72, 765,025.02 and 210,268.89

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Solution

The fourth proportional to 509,954.72, 765,025.02 and 210,268.89 is: 315,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,954.72 : 765,025.02 = 210,268.89 : x
  2. Step 2: Convert to fraction form
    509,954.72/765,025.02 = 210,268.89/x
  3. Step 3: Cross multiply
    509,954.72x = 765,025.02 × 210,268.89
  4. Step 4: Simplify right side
    509,954.72x = 160,860,961,777.63
  5. Step 5: Solve for x
    x = 160,860,961,777.63/509,954.72
  6. Step 6: Final answer
    x = 315,441.66

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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.