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Finding the Fourth Proportional to 314,968.97, 472,383.50 and 90,328.43

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Solution

The fourth proportional to 314,968.97, 472,383.50 and 90,328.43 is: 135,472.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,968.97 : 472,383.50 = 90,328.43 : x
  2. Step 2: Convert to fraction form
    314,968.97/472,383.50 = 90,328.43/x
  3. Step 3: Cross multiply
    314,968.97x = 472,383.50 × 90,328.43
  4. Step 4: Simplify right side
    314,968.97x = 42,669,660,642.22
  5. Step 5: Solve for x
    x = 42,669,660,642.22/314,968.97
  6. Step 6: Final answer
    x = 135,472.58

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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.