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Finding the Fourth Proportional to 310,208.60, 427,978.82 and 202,841.48

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Solution

The fourth proportional to 310,208.60, 427,978.82 and 202,841.48 is: 279,849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,208.60 : 427,978.82 = 202,841.48 : x
  2. Step 2: Convert to fraction form
    310,208.60/427,978.82 = 202,841.48/x
  3. Step 3: Cross multiply
    310,208.60x = 427,978.82 × 202,841.48
  4. Step 4: Simplify right side
    310,208.60x = 86,811,857,257.45
  5. Step 5: Solve for x
    x = 86,811,857,257.45/310,208.60
  6. Step 6: Final answer
    x = 279,849.94

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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.