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Finding the Fourth Proportional to 313,814.93, 433,175.65 and 186,489

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Solution

The fourth proportional to 313,814.93, 433,175.65 and 186,489 is: 257,420.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,814.93 : 433,175.65 = 186,489 : x
  2. Step 2: Convert to fraction form
    313,814.93/433,175.65 = 186,489/x
  3. Step 3: Cross multiply
    313,814.93x = 433,175.65 × 186,489
  4. Step 4: Simplify right side
    313,814.93x = 80,782,493,326.63
  5. Step 5: Solve for x
    x = 80,782,493,326.63/313,814.93
  6. Step 6: Final answer
    x = 257,420.81

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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.