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Finding the Fourth Proportional to 475,991.78, 713,015.67 and 265,741.70

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Solution

The fourth proportional to 475,991.78, 713,015.67 and 265,741.70 is: 398,069.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,991.78 : 713,015.67 = 265,741.70 : x
  2. Step 2: Convert to fraction form
    475,991.78/713,015.67 = 265,741.70/x
  3. Step 3: Cross multiply
    475,991.78x = 713,015.67 × 265,741.70
  4. Step 4: Simplify right side
    475,991.78x = 189,477,996,272.44
  5. Step 5: Solve for x
    x = 189,477,996,272.44/475,991.78
  6. Step 6: Final answer
    x = 398,069.89

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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.