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Finding the Fourth Proportional to 309,651.66, 427,410 and 202,238.37

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Solution

The fourth proportional to 309,651.66, 427,410 and 202,238.37 is: 279,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,651.66 : 427,410 = 202,238.37 : x
  2. Step 2: Convert to fraction form
    309,651.66/427,410 = 202,238.37/x
  3. Step 3: Cross multiply
    309,651.66x = 427,410 × 202,238.37
  4. Step 4: Simplify right side
    309,651.66x = 86,438,701,721.70
  5. Step 5: Solve for x
    x = 86,438,701,721.70/309,651.66
  6. Step 6: Final answer
    x = 279,148.19

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1.5x scale

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.