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Finding the Fourth Proportional to 314,918.40, 472,235.43 and 90,227.43

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Solution

The fourth proportional to 314,918.40, 472,235.43 and 90,227.43 is: 135,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,918.40 : 472,235.43 = 90,227.43 : x
  2. Step 2: Convert to fraction form
    314,918.40/472,235.43 = 90,227.43/x
  3. Step 3: Cross multiply
    314,918.40x = 472,235.43 × 90,227.43
  4. Step 4: Simplify right side
    314,918.40x = 42,608,589,203.84
  5. Step 5: Solve for x
    x = 42,608,589,203.84/314,918.40
  6. Step 6: Final answer
    x = 135,300.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.