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Finding the Fourth Proportional to 309,661.59, 427,175.46 and 202,294.47

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Solution

The fourth proportional to 309,661.59, 427,175.46 and 202,294.47 is: 279,063.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,661.59 : 427,175.46 = 202,294.47 : x
  2. Step 2: Convert to fraction form
    309,661.59/427,175.46 = 202,294.47/x
  3. Step 3: Cross multiply
    309,661.59x = 427,175.46 × 202,294.47
  4. Step 4: Simplify right side
    309,661.59x = 86,415,233,277.71
  5. Step 5: Solve for x
    x = 86,415,233,277.71/309,661.59
  6. Step 6: Final answer
    x = 279,063.46

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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.