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Finding the Fourth Proportional to 309,716.28, 427,343.40 and 202,443.93

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Solution

The fourth proportional to 309,716.28, 427,343.40 and 202,443.93 is: 279,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,716.28 : 427,343.40 = 202,443.93 : x
  2. Step 2: Convert to fraction form
    309,716.28/427,343.40 = 202,443.93/x
  3. Step 3: Cross multiply
    309,716.28x = 427,343.40 × 202,443.93
  4. Step 4: Simplify right side
    309,716.28x = 86,513,077,355.56
  5. Step 5: Solve for x
    x = 86,513,077,355.56/309,716.28
  6. Step 6: Final answer
    x = 279,330.09

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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.