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Finding the Fourth Proportional to 302,951.66, 418,054.28 and 166,978.13

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Solution

The fourth proportional to 302,951.66, 418,054.28 and 166,978.13 is: 230,419.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,951.66 : 418,054.28 = 166,978.13 : x
  2. Step 2: Convert to fraction form
    302,951.66/418,054.28 = 166,978.13/x
  3. Step 3: Cross multiply
    302,951.66x = 418,054.28 × 166,978.13
  4. Step 4: Simplify right side
    302,951.66x = 69,805,918,987.73
  5. Step 5: Solve for x
    x = 69,805,918,987.73/302,951.66
  6. Step 6: Final answer
    x = 230,419.34

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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.