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Finding the Fourth Proportional to 330,222.25, 495,403.95 and 102,512.84

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Solution

The fourth proportional to 330,222.25, 495,403.95 and 102,512.84 is: 153,791.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,222.25 : 495,403.95 = 102,512.84 : x
  2. Step 2: Convert to fraction form
    330,222.25/495,403.95 = 102,512.84/x
  3. Step 3: Cross multiply
    330,222.25x = 495,403.95 × 102,512.84
  4. Step 4: Simplify right side
    330,222.25x = 50,785,265,979.13
  5. Step 5: Solve for x
    x = 50,785,265,979.13/330,222.25
  6. Step 6: Final answer
    x = 153,791.17

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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.