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Finding the Fourth Proportional to 320,694.04, 480,963.28 and 133,603.48

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Solution

The fourth proportional to 320,694.04, 480,963.28 and 133,603.48 is: 200,372.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,694.04 : 480,963.28 = 133,603.48 : x
  2. Step 2: Convert to fraction form
    320,694.04/480,963.28 = 133,603.48/x
  3. Step 3: Cross multiply
    320,694.04x = 480,963.28 × 133,603.48
  4. Step 4: Simplify right side
    320,694.04x = 64,258,367,960.21
  5. Step 5: Solve for x
    x = 64,258,367,960.21/320,694.04
  6. Step 6: Final answer
    x = 200,372.82

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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.