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Finding the Fourth Proportional to 310,918.40, 429,069.25 and 174,954.63

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Solution

The fourth proportional to 310,918.40, 429,069.25 and 174,954.63 is: 241,438.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,918.40 : 429,069.25 = 174,954.63 : x
  2. Step 2: Convert to fraction form
    310,918.40/429,069.25 = 174,954.63/x
  3. Step 3: Cross multiply
    310,918.40x = 429,069.25 × 174,954.63
  4. Step 4: Simplify right side
    310,918.40x = 75,067,653,705.83
  5. Step 5: Solve for x
    x = 75,067,653,705.83/310,918.40
  6. Step 6: Final answer
    x = 241,438.44

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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.